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? 2(+/-) g Δt = | 2 (b) Find the velocity of each ball as it strikes the ground. For the ball thrown upward V₁ = For the ball thrown downward V = +2gh x d = √(v₁)² + 2gh × (c) How far apart are the balls at a time t after they are thrown and before they strike the ground? 2v;(t)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...
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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 Vf=
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)
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 Vf= 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)
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