Two students are on a balcony a distance h above the

Chapter 2, Problem 2.102

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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 v0; at the same time, the other 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. (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 balls time in the air? (c) Use the time-independent kinematics equation to fi nd the velocity of each ball as it strikes the ground. (d) How far apart are the balls at a time t after they are released and before they strike the ground?

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