A baseball is hit straight up and is caught by the catcher 2.0 s later, at the same height at which it left the bat.The maximum height of the ball during this interval is:
A)4.9 m
B)7.4 m
C)12.4 m
D)19.6 m
E)38.8 m

Question

Quizplus · Accepted Answer

The total time for the ball's round trip is 2.0 s, so the time to reach the maximum height is 1.0 s. Using the formula for maximum height $ h = \frac{1}{2}gt^2 $, where $ g = 9.8 \, \text{m/s}^2 $ and $ t = 1.0 \, \text{s} $, we find $ h = \frac{1}{2} \times 9.8 \times (1.0)^2 = 4.9 \, \text{m} $.

A Baseball Is Hit Straight Up and Is Caught by the Catcher