Two students are on a balcony a distance h above the street. The first student throws a ball vertically downward at a speed Voi at the time, the second student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of vo, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.) 1 2 ball 1 1 ball 2 Y2= -Vo²2 (b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using quadratic formula. What is the difference in the two balls' time in the air? (Remember that t must always be a positive quantity.) t2 - t = (c) Use the time-dependent kinematics equation to find the velocity of each ball as it strikes the ground. ball 1 v = V vó+ 2gh V+ 2gh ball 2 V2 =

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Chapter1: Units, Trigonometry. And Vectors
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Two students are on a balcony a distance h above the street. The first student throws a ball vertically downward at a speed
Vo; at the time, the second student throws a ball vertically upward at the same speed. Answer the following symbolically in
terms of vo, g, h, and t.
(a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.)
1
ball 1 Y1= Voʻ1- ¿gti
28
1
ball 2
(b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using quadratic formula.
What is the difference in the two balls' time in the air? (Remember that t must always be a positive quantity.)
t2 - t
(c) Use the time-dependent kinematics equation to find the velocity of each ball as it strikes the ground.
ball 1
V1=
+ 2gh
V2 = V vố + 2gh
ball 2
(d) How far apart are the balls at a time after they are released and before they strike the ground?
Y2 - Y1 = 2vot
Transcribed Image Text:Two students are on a balcony a distance h above the street. The first student throws a ball vertically downward at a speed Vo; at the time, the second student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of vo, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.) 1 ball 1 Y1= Voʻ1- ¿gti 28 1 ball 2 (b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using quadratic formula. What is the difference in the two balls' time in the air? (Remember that t must always be a positive quantity.) t2 - t (c) Use the time-dependent kinematics equation to find the velocity of each ball as it strikes the ground. ball 1 V1= + 2gh V2 = V vố + 2gh ball 2 (d) How far apart are the balls at a time after they are released and before they strike the ground? Y2 - Y1 = 2vot
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