Two students are on a balcony a distance h above the street. The first student throws a ball vertically downward at a speed v0; at the same time, the second student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v0, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.)
Two students are on a balcony a distance h above the street. The first student throws a ball vertically downward at a speed v0; at the same time, the second student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v0, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.)
An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section: Chapter Questions
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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 v0; at the same time, the second student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v0, g, h, and t.
(a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.)
(b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using the quadratic formula. What is the difference in the two ball's time in the air? (Remember that t must always be a positive quantity.)
(c) Use the time-dependentkinematics equation to find the velocity of each ball as it strikes the ground.
(d) How far apart are the balls at a time after they are released and before they strike the ground?
| y1 | = |
|
(ball 1) |
| y2 | = |
|
(ball 2) |
|
|
(b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using the quadratic formula. What is the difference in the two ball's time in the air? (Remember that t must always be a positive quantity.)
| t2 − t1 | = |
|
(c) Use the time-dependent
| v1 | = |
|
(ball 1) |
| v2 | = |
|
(ball 2) |
(d) How far apart are the balls at a time after they are released and before they strike the ground?
| y2 − y1 | = |
|
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