(a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.) 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 kinematics equation to find the velocity of each ball as it strikes the ground. v1 = (ball 1) v2 = (ball 2)
(a) Write the kinematic equation for the y-coordinate of each ball. (Let up be positive.) 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 kinematics equation to find the velocity of each ball as it strikes the ground. v1 = (ball 1) v2 = (ball 2)
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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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