Question

1. Suppose that a ball is thrown straight up in the air, and that a second ball is thrown straight upward two seconds after the first. It reaches the same maximum height as the first ball.

   a. What is the position of the first ball as a function of time, y1(t)? Take the initial height of the ball as y0 = 0.
   b. What is the position of the second ball as a function of time, y2(t)? Take the initial height of the ball as y0 = 0.

   c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, time to max height for the first ball, and note the point corresponding to the time and height of passing.
   d. When do the balls pass each other in the air? Assume the balls are being throw up adjacent to each other.

   e. At what height above y0 = 0 do the balls pass each other?
   f. Can you find the time of passing by just using the y − t diagram?

Answer 1