Two students are on a balcony a distance h above the street. One student throws a ball vertically downward at a speed v₁; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v₁, g, h, and t. (Take upward to be the positive direction.) (a) What is the time interval between when the first ball strikes the ground and the second ball strikes the ground? -²(+/-) g At = 2 (b) Find the velocity of each ball as it strikes the ground. √(v₂) ²- For the ball thrown upward Vf= For the ball thrown downward Vf= +2gh x d= √ (v₁) ². +2gh x (c) How far apart are the balls at a time t after they are thrown and before they strike the ground? 2v (1)
Two students are on a balcony a distance h above the street. One student throws a ball vertically downward at a speed v₁; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v₁, g, h, and t. (Take upward to be the positive direction.) (a) What is the time interval between when the first ball strikes the ground and the second ball strikes the ground? -²(+/-) g At = 2 (b) Find the velocity of each ball as it strikes the ground. √(v₂) ²- For the ball thrown upward Vf= For the ball thrown downward Vf= +2gh x d= √ (v₁) ². +2gh x (c) How far apart are the balls at a time t after they are thrown and before they strike the ground? 2v (1)
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Transcribed Image Text:Two students are on a balcony a distance h above the street. One student throws a ball vertically downward at a speed v;; at the
same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of V₁,
g, h, and t. (Take upward to be the positive direction.)
(a) What is the time interval between when the first ball strikes the ground and the second ball strikes the ground?
Δt = | 2
g
(b) Find the velocity of each ball as it strikes the ground.
√(v₁)² + 2gh x
For the ball thrown upward
For the ball thrown downward V₁ =
d =
+2gh x
(c) How far apart are the balls at a time t after they are thrown and before they strike the ground?
2v;(t)
Expert Solution
Introduction:
Any type of motion can be either uniform or accelerated. Here it is the case of uniformly accelerated motion. The acceleration is gravity acting downwards. Since it is 1 dimensional motion, direction is taken care of by + and - signs. Upward direction is taken as negative and downward as positive.
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