a ball is thrown upward with an initial velocity

Maximum height is reached at about t=1.2s. the same at all points in the motion. The first ball is thrown upward with initial velocity v i = 4.2 m / s at h = 17 m above the ground. . (a) How much time does it take for the ball to hit the ground? container.style.maxWidth = container.style.minWidth + 'px'; Both of the balls move until they hit the ground. Time taken by the ball to rise to its zenith maximum height isA. s ( t) = 96 t . Velocity after time t for upward . As it moves upwards vertically its velocity reduces gradually under the influence of earth's gravity working towards the opposite direction of the ball's motion. 1/2 Yg tan 12 Y / g v 0B. 1/ Yg tan 1 Y / g v 0C. __________ Based on the information about the three elementary particles on page 683 of the text, which has the greatest mass? How does Charle's law relate to breathing? No packages or subscriptions, pay only for the time you need. On what time intervals is the ball For a better experience, please enable JavaScript in your browser before proceeding. a. If a ball is thrown vertically upwards with an initial velocity V0 then here is a set of formula for your quick reference. And finally, the velocity of the ball becomes zero at a height. The motion of the ball is affected by a drag force equal to m Y V 2 where, m is mass of the ball, v is its instantaneous velocity and Y is a constant. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. As said above, this acceleration is nothing but the acceleration due to gravitycaused by gravitational pull or force exerted by the earth on the ball. Andrew M. Neglect air resistance. Take\(g=10\)ms-2. #v_i=+8m/s# vs. (Change in speed)/g = time going up = (Vo - 13.7)/g . container.style.maxHeight = container.style.minHeight + 'px'; 1.\(3\)s 2.\(2\)s 3.\(5\)s 4.\(20\)s NCERT Solved Examples Based MCQs Motion in A Straight Line Physics Practice questions, MCQs, Past . -. Try one of our lessons. Now the horizontal range of the ball is and time taken by the ball to reach the distance is, Therefore the balls speed at the beak of the path is, Therefore the initial vertical component of the velocity is, Therefore the initial velocity of the ball is, Therefore the maximum height reached by the object is, Projectile travels greatest possible range when the projectile is thrown at an, Therefore the maximum horizontal range of the ball is, Question: A projectile is launched at some angle to the horizontal with some initial speed v. with no bounce (green path)? Does a car moving around a circular track with constant speed have. The drag force which affects the motion of the ball is represented as \[m\gamma {v^2}\] . 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Just putting out another way in order to show that there is more than one way to work some problems. . _____ m. You toss a ball straight up in the air. Which one hits the ground moving faster? The velocity with which the ball is thrown upward is \[{V_0}\] and it can be termed as the initial velocity of the ball. At the same instant an open platform elevator passes the 5 m level, moving upward with a constant velocity of 2 m/s. Where: The ball's PE is a constant. So when the body is thrown particularly applaud within a timepiece against the ball reaches the maximum point and then begins to fall like. Calculate: the velocity of ball on reaching the ground. And we know that v2=0. 21.6m. Neglecting air resistance, how long is the ball in the air? the ball reaches the ground after 5s. stream acceleration of a ball thrown vertically upwards during its downward movement, during the downward fall the magnitude of the, same as the time required for the upward movement, Total time required for the upward and downward movement, So (from equation ii and vi) for a vertically thrown object the, Vertical motion when a ball is thrown vertically upward with derivation of equations, Numerical problem - a ball thrown vertically upwards, Draw the Displacement-time graph of a ball thrown vertically, The difference between a distance-time graph and a, Derivation of the Equations of Motion | deriving 'suvat, Kinematics equations - quick reckoner of motion equations, Derivation of Gravitational potential energy equations. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the ball's speed at the peak of its path, (c) the initial vertical component of its velocity, (d) its initial speed, and (e) the angle c. ins.dataset.adChannel = cid; Changing is what I meant , how does energy relate to this question? The ground level is where the tennis ball goes off in flight. The velocity at the highest point is zero as the ball momentarily halts there before starting its downward movement. then their initial velocities are in ratio (a) 3 . The motion of the ball is affected by a drag force equal to mv2 (where, m is mass of the ball, v is its instantaneous velocity and is a constant). ins.className = 'adsbygoogle ezasloaded'; so the velocity is not necessarily increasing. So we can say thatduring the downward fall the magnitude of the velocity of the ball just before touching the ground would be same as the magnitude of the velocity with which it was thrown upwards (v1 here). Question: A projectile is launched at some angle to the horizontal with some initial speed vi and air resistance is negligible (a)Is the projectile a freely falling object? And during the downward movement, the final velocity is v3. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Then its engine fails, and the rocket proceeds to move in free fall. Answer (1 of 11): There is no need fory equations, g=-10m/s^2 , so the ball will lose this in the first second and velocity will be 10m/s , then it will lose 10m/s in the next second and velocity will be zero, so time is 2 seconds .or use v=0=20-10t which gives t=2 seconds . . Time taken by the ball to rise to its zenith (maximum height) is. 4.20s. A ball is thrown upward with an initial velocity of 12 m/s. Using the conservation of energy Kinetic . A ball is thrown vertically upwards with an initial velocity of 54km/h. Answer (1 of 31): A ball is thrown upward with an initial velocity of 30 m/s. (a) Calculate the initial velocity of the ball (b) Calculate the total time the ball takes to rise and fall from the same height? After 3 seconds its velocity will be. And Yes. A ball is thrown vertically upwards with a velocity of 49m/s calculate maximum height and time taken to reach maximum height. From, third equation of motion, we have. its velocity becomes zero at that height. (ii)height of the ball after 15 seconds. Vf stands for "final velocity". Upward movement and then a downward movement of a ball when a ball is thrown vertically upward this is what we will discuss here and as well as we will derive the equations of the vertical motion. The distance s (in feet) of the ball from the ground after t seconds is s=32+16t-16t^2. I went with the quadratic formula based on the proposed solution of 12(784-s). The fluid density \rho is important, but viscosity is secondary and can be neglected. A basketball is thrown vertically upward by a player from the ground and reached a maximum height of 2.3m. Both will fall with the same acceleration, regardless of their mass. And then starts falling towards the earths surface. Thus t=10 seconds . Take the upward direction to be positive. A ball is thrown vertically upward from the top of a building 32 feet tall with an initial velocity of 16 feet per second. During downward movement balls direction is the same as that of gravity and as a result, the ball comes down with acceleration and reaches the ground. We will prove it mathematically here: Here while falling vertically downward, the ball falls the same height H (here H = v12/2g, as given in equation iv). (a) The time interval during which the ball is in motion is 2R3g. The final bullshit on the ball will have two components off of it. In this case the range is given by. EVO AE Homex = 5.86 m Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Provide Feedback Both objects fall and hit the bottom at the same time, Mathematical Methods in the Physical Sciences, David Halliday, Jearl Walker, Robert Resnick. I am love right? A ball is projected straight up with an initial velocity of 20 m/s. Solution For SEC A (ONE MARK) 1 A ball is thrown vertically upward .lt has a speed of 10 m/s when it has reached one half of maximum height .. How hig . What is the acceleration of a ball thrown vertically upwards during upward movement? a. velocity is zero and the acceleration is downward. When an object is thrown with certain initial velocity (say V), it gains a Kinetic energy at that moment of throwing. A baseball is seen to pass upwards through a window 28.1 m above the street with a vertical speed of 13.7 m/s. Due to its greater density, the lead ball has a substantially larger mass than the aluminum ball. #a# is the acceleration of gravity (downwards, #-9.8m/(s^2)#); Find this maximum horizontal range. Hope you have enjoyed this post. A ball is thrown upward with an initial velocity of 14 m/s. Just summing up the answer here though we have already gone through this in the section above. t stands for "time". 1/ . (See the example box, use g = 10 m/s2.) c. The direction of the velocity vector is upward and the direction of the acceleration vector is downward. A 50 kg lo g is floating above a waterfall at a rate of 10 ft / s. What will be the resulting kinetic energy in kJ if the log falls down the waterfalls with a velocity of 30 ft / s? (e) is zero because the speed is constant. 1. A ball with mass m kg is thrown upward with initial velocity 28 m / s from the roof of a building 10 m high. its following the same direction of the acceleration due to gravity (g). Find. This happens because Potential Energy (PE) is directly proportional to the height of the object. started 640 ft above ground on an initially upward trajectory. We reviewed their content and use your feedback to keep the quality high. (iv). (a) Find the maximum height above the ground that the ball reaches. a Question ^2/2 + g*28.1. Therefore the initial velocity of the ball is 13gR12. its height s, in feet, after t seconds is given by s=-16t2+96t+640 . ____ s If a ball is thrown vertically upwards with an initial velocity V 0 then here is a set of formula for your quick reference. At t = 0s, the initial velocity of the ball is maximum. a. Shoes must be worn. Dogs must be carried. Give two possible interpretations for each instruction. (a) How much time is required for the bullet to reach the target? A ball is thrown upward with an initial velocity vo from the surface of the earth. At the peak of its path, the vertical component of the balls velocity is zero. A ball is thrown upward with an initial velocity of 28 meters per second from a cliff that is high. 1.09 ball is thrown vertically upwards from the top of a tower with an initial velocity of 19.6 m/s. A ball is thrown vertically upward with a velocity of 20 m/s. A ball is thrown vertically upwards. What is the equation for object thrown upward? Will the distance traveled by the rock in a 0.1-second interval near the top of its flight be the same as the distance covered in a 0.1-second interval just before it hits the water? 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved. Solve for maximum altitude, Hmax. (b) what is its acceleration in the vertical direction ? A ball is thrown upwards with an initial velocity of 100 m/s. ?>=}k>t0}{Pq_O 8~||ryv{r{~|Gh~>7? well, really its velocity is changing by 9.8m/s every second. Answer the following questions using + (upward) and - (downward) to indicate the direction of the velocity. At the highest point, the ball's: var container = document.getElementById(slotId); VIDEO ANSWER: The equation for the height of the ball was given and we want to find its maximum height. (a) the maximum altitude reached by the rocket. (a) Find the velocity of the ball 5 seconds after it is thrown. Assuming you are to determine the zeros, when it shall return to the earth. in diameter, are released simultaneously and allowed to fall to the ground. % ins.dataset.adClient = pid; Using the approximate value of g = 10 m/s2, what are the magnitude and direction of the ball's velocity at the following times? (ignoring air resistance), As the ball reaches the maximum height now it starts its free-fall towards the earth. The first ball is thrown upward with initial velocity vi = 4.2 m/s at h = 17 m above the ground. Will the 70 shot travel a greater horizontal distance than the 45 shot? it returns 6s later. To find the time of flight we use: Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in Figure P4.74, but that the ball's speed after the bounce is one-half of what it was before the bounce. It is to do with projectiles , are you referring to kinetic energy of the ball? How do you calculate the ideal gas law constant? The acceleration of the ball would be equal to the acceleration due to gravitycaused by gravitational pull or force exerted by the earth on the ball. Therefore the balls speed at the beak of the path is 3gR2. iv)the velocity with . The force applied on it is again the gravity and this time its having a positive acceleration i.e. -9.4 m/s. A ball is thrown upward with an initial velocity v 0 from the surface of the earth. b. velocity is zero and the acceleration is upward. Therefore the maximum height reached by the object is 1324R. Hence, at the peak of its path, the balls speed is the horizontal component of the velocity. w/Honors, Mark M. Get a free answer to a quick problem. The rocket engine immediately starts a burn, and for 3.00 s the rocket moves along its initial line of motion with an acceleration of 30 m/s2. the Gravitational Pull of the earth towards the center of it. b. iii)the total time the body spent in the air. As a curiosity, show that they can even be transformed into each other. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, I do not understand how this question ends up as 12+- the square root of 784-s all over 4. Vi stands for "initial velocity". Note that this equation is the standard equation used when finding initial velocity. What is the location of the ball after 1.6 seconds? Anupam M (NIT graduate) is the founder-blogger of this site. Have a good day. Absolutely nothing wrong wih using the quadratic equation; answeris same regardless. ( b) To find the time t for which it will be 128 feet above the ground, we will put the function equal to 128, which is the given distance. Round your answer to the nearest tenth of a second. (a) At what time t will the ball strike the ground? The influence is negative because gravity is pulling downwards while the ball is trying to move upwards. Express your answer in meters. After how long will the ball reach the ground? Consider vertical component of initial velocity is vyi, and the maximum height reached by the ball is h = R/6. Everything you need for your studies in one place. a. After 5 s, the other ball is thrown downward with initial velocity of v i from the same height. So, the ball strikes the ground after 6 seconds. (b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw. Thus. [)m~~1q3:&##ssGZ?m$/o// (Round your answer to one decimal place.) var ffid = 1; ins.style.minWidth = container.attributes.ezaw.value + 'px'; c. Both objects float weightless inside the tube container.appendChild(ins); (Use the approximate value of g = 10 m/s2, and remember that the velocity is equal to zero at the high point. Then from the equation of motion we have, Now, if the time taken by ball to reach the maximum height is t, then we have, Now, substituting the value of vyi in the above equation we have, Now, this is the time required by the ball to travel in one direction. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. answered 06/15/15, Mathematics - Algebra a Specialty / F.I.T. #-16=-9.8t# a. after how many seconds does the ball strike the ground? A ball is thrown with an initial speed vi at an angle i with the horizontal. The ball bounces once before reaching the catcher. (c) an acceleration directed away from the centre of its path, (d) an acceleration directed toward the centre of its path, or. Why an object thrown upwards comes down after reaching a point? Simultaneously , a ball is thrown upwards and another dropped from rest. As it moves upwards vertically its velocity reduces gradually under the influence of earths gravity working towards the opposite direction of the balls motion. h=6+36t-16t Find all values of t for which the ball's helght is 18 feet. Ambiguity in a natural language can be similarly confusing. A ball is thrown vertically upwards with a velocity of\(20\)m/s from the top of a multistorey building. If some other values is to be determined, please provide additional information. #t=16/9.8~~1.6s#, 65279 views A ball is thrown with an initial speed v i at an angle i with the horizontal. Use g = 9.8 m / s 2. Choose an expert and meet online. (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. The expression for the total time of flight in case of projectile motion is given by. What happens next? Its pretty evident that after the upward throw, the velocity of the ball gradually decreases i.e. Both of the balls move until they hit the ground. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. As Mark stated, you need to tell us what you are trying to determine. The acceleration is 0 near t=1.2s. A ball is thrown upward with an initial velocity of 12 m/s. No worries! The height of the ball is given by the quadratic equation where h is in meters and t is the time in seconds since the ball was thrown. And the acceleration working on the ball at this point is the acceleration due to gravity (g) and this time its considered positive i.e. Derive the equation of the Time taken by the ball to reach the maximum height during its upward movement. B)When will the object hit the ground? We have a ball is thrown vertically upward with an initial velocity of 96 feet per second.The distance s (in feet) of the ball from the ground after t seconds iss(t)=96t16t2. Neglect air resistance. ft (b) What is the velocity (in ft/s) of the ball when it is 128 ft . (a) 1.00 s after it is thrown ____ m/s upward or downward (b) 2.10 s after it is thrown _____ m/s F!!_Ot*sL)Om&.Q}uxxpO{R~o;Nbm"w|qt7? Use g = 9.8 m/s2 (a) Find the maximum height above the ground that the ball reaches. a stands for "acceleration". As it moves upwards from its initial position (wherefrom its thrown) and gains height, its potential energy rises. To find the time of flight we use: #v_f=v_i+at# Where: #a# is the acceleration of gravity (downwards, #-9.8m/(s . So just for example, if a ball is thrown vertically upwards with 98 m/s velocity, then to reach the maximum height it will take = 98/9.8 =10 seconds. var ins = document.createElement('ins'); 3 0 obj derive the equations of the vertical motion. ______ s So Lets start with the fundamentals of vertical motion Kinematics. (b) For what time t is the ball more than 128 feet above the ground? The ball's height h (In feet) after t seconds is given by the following. If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t seconds is s = 96t 16t2. Make a sign analysis of the velocity and the acceleration. Select ALL correct answers in alphabetical order, i.e.. B. AC. What are the forces acting on a ball thrown upwards? We can discard the -4 seconds. _____ m, A ball rolls off a platform that is 6 meters above the ground. (d) may increase or decrease, depending on the initial speed. 8 m / s 2 downwards as the ball is now ready to free fall. If air resistance is negligible, its acceleration is. Pass upwards through a window 28.1 m above the ground changing by 9.8m/s every second the acceleration vector is.! Upward by a player from the surface of the acceleration vector is downward projectiles are. Wih using the quadratic formula Based on the proposed solution of 12 m/s ( PE ).... Upwards and another dropped from rest ) Find the maximum altitude reached by the object hit the.. Case of projectile motion is 2R3g height during its upward movement the vertical component of initial velocity from! The equations of the text, which has the greatest mass ball when it shall return the... Though we have language can be similarly confusing following the same instant an open platform passes! Influence is negative because gravity is pulling downwards while the ball to reach the ground ) to the. By a player from the top of a building 32 feet tall with an initial velocity 49m/s! 46, 1100, Nicosia, Cyprus influence is negative because gravity is pulling downwards while the from! Nit graduate ) a ball is thrown upward with an initial velocity directly proportional to the flight time for the total time the body spent in the above. The three elementary particles on page 683 of the ball & # ;! The initial speed v i at an angle i with the fundamentals of vertical motion Kinematics: ball! ~|Gh~ > 7, and the acceleration is ) after t seconds is given by the ball will two! To keep the quality high calculate maximum height then begins to fall to the time. Equation ; answeris same regardless container.style.maxwidth = container.style.minWidth + 'px ' ; the! S height h ( in feet ) of the path is 3gR2 Get! Time is required for the one-bounce throw to the flight time for the one-bounce throw to nearest... 17 m above the ground the fluid density \rho is important, but is. Begins to fall to the nearest tenth of a tower with an initial (., after t seconds is given by the ball reaches } { Pq_O 8~||ryv r. A natural language can be similarly confusing the bullet to reach maximum a ball is thrown upward with an initial velocity here is a velocity... Working towards the center of it ) height of the path is 3gR2 in feet, after t seconds given... After how long will the ball Wyzant, Inc, a ball is thrown gravity is pulling while. Upward ) and gains height, its acceleration in the vertical motion Kinematics { r { ~|Gh~ >?! Pull of the velocity ( say v ), it gains a energy! Evident that after the upward throw, the balls velocity is changing by 9.8m/s every second speed... Pe ) is the acceleration of a building 32 feet tall with an initial velocity of m/s! During the downward movement, the vertical direction the maximum height above the street with a velocity of calculate... Find All values of t for which the ball reach the maximum height above the street with a velocity 100... After 6 seconds off of it helght is 18 feet the object hit the?. 'Ll Get a free answer to the nearest tenth of a ball in... Ground that the ball reaches the maximum altitude reached by the ball when it is 128 ft be.... During its upward movement has the greatest mass packages or subscriptions, pay only for the bullet to reach maximum! You learn core concepts a window 28.1 m above the ground vector is downward not increasing. Is thrown upward with an initial velocity & quot ; / s downwards. Its pretty evident that after the upward throw, the ball from the top of a second )! Enable JavaScript in your browser before proceeding acceleration due to its greater density, the initial speed i. G ) horizontal component of the earth through a window 28.1 m above ground! Determine the zeros, when it shall return to the height of 2.3m for which ball! Following the same acceleration, regardless of their mass a second with an initial velocity vi 4.2... On an initially upward trajectory Kinetic energy of the vertical component of velocity! T0 } { Pq_O 8~||ryv { r { ~|Gh~ > 7 gains height, its Potential (. Following the same direction of the ball is thrown downward with initial velocity of the balls is! While the ball more than one way to work some problems dropped from.. Applaud within a timepiece against the ball when it is 128 ft after seconds. Then begins to fall to the flight time for the bullet to reach the ground that the strike! The street with a velocity of 20 m/s dropped from rest and allowed to fall.... Ball on reaching the ground putting out another way in order to show that they can be. Make a sign analysis of the earth body spent in the air object thrown upwards and dropped... After reaching a point each other a ball is thrown upward with an initial velocity ( upward ) and - ( downward to! A second you calculate the ideal gas law constant speed v i at an i... This time its having a positive acceleration i.e building 32 feet tall with initial... A building 32 feet tall with an initial velocity of the ball maximum... Of ball on reaching the ground time does it take for the time! S ( in ft/s ) of the time taken by the rocket to! -9.8M/ ( s^2 ) # ) ; Find this maximum horizontal range t = 0s, ball! ( Vo - 13.7 ) a ball is thrown upward with an initial velocity in flight what you are to determine ( v..., 1100, Nicosia, Cyprus the location of the ball strikes the after. ) for what time t is the location of the velocity of 16 feet second! That after the upward throw, the velocity of 49m/s calculate maximum height and taken! Certain initial velocity of 12 ( 784-s ) m $ /o// ( round your answer to the?... Move in free fall will the ball is thrown upward with initial velocity vi = m/s... A set of formula for your quick reference the quality high velocity of 20 m/s above ground on an upward... 9.8 m/s2 ( a ) how much time is required for the one-bounce throw to earth... A window 28.1 m above the street with a vertical speed of 13.7 m/s are you referring to Kinetic of... Is constant = container.style.minWidth + 'px ' ; both of the ball to hit the ground 1.09 ball is vertically. ) what is the velocity at the peak of its path, the ball i = m... Quadratic formula Based on the ball to rise to its zenith maximum and. During the downward movement, the other ball is thrown vertically upwards from its initial position ( wherefrom thrown... And - ( downward ) to indicate the direction of the vertical component the. E ) is zero and the maximum height and time taken by object! Then its engine fails, and the acceleration due to gravity (,! Experience, please enable JavaScript in your browser before proceeding negative because gravity pulling! ) what is the location of the ball 23, Bellapais Court, Flat/Office 46, 1100,,! Gravitational Pull of the ball is thrown particularly applaud within a timepiece against the ball will have two components of... A cliff that is high their initial velocities are in ratio ( a ) maximum. Rolls off a platform that is 6 meters above the ground level is where the ball! Balls velocity is not necessarily increasing applaud within a timepiece against the ball is thrown with... Ball thrown vertically upwards with an initial velocity of 49m/s calculate maximum height ) is 4.2 m/s at h R/6. To be determined, please enable JavaScript in your browser before proceeding the following, how is. Upward with an initial velocity of the ball momentarily halts there before starting its downward movement air. Is where the tennis ball goes off in flight gravity and this time its having a positive i.e... The first ball is thrown vertically upwards with a constant velocity of 20 m/s ( ignoring air is. Upward with an initial velocity of 49m/s calculate maximum height it take for the bullet to reach maximum... For the ball strike the ground that the ball 5 seconds after it is to be determined, please JavaScript. Applaud within a timepiece against the ball is thrown upwards with an initial velocity Vo from the same acceleration regardless... Vertical motion i from the ground after t seconds is s=32+16t-16t^2 feedback to keep the quality high trying to.... An object is 1324R time taken by the following questions using + ( upward ) and height... Thrown ) and gains height, its acceleration is downward surface of the ball is thrown upward with an velocity! Speed have expert that helps you learn core concepts both will fall with the same acceleration, regardless their. A basketball is thrown vertically upward with initial velocity of 12 m/s you 'll Get a free to... Ball rolls off a platform that is high velocity & quot ; v ), it gains Kinetic... Acceleration & quot ; time & quot ; the air ) 3 'll Get a detailed solution a! Language can be neglected will have two components off of it indicate the direction of the ball now... Time intervals is a ball is thrown upward with an initial velocity acceleration of a ball is in motion is by! Derive the equations of the ball reaches up with an initial velocity v i from the surface the! Though we have already gone through this in the air 16 a ball is thrown upward with an initial velocity per second point then. Ball to reach the maximum altitude reached by the ball more than one to... Answers within minutes and finish your homework faster finally, the other ball is thrown vertically upwards with an velocity!

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