The vertical height attained by a basketball player who achieves a hang time of a full 1 s is about
A)0.8 m.
B)1 m.
C)1.2 m.
D)2.5 m.
E)more than 2.5 m.

Question

Quizplus · Accepted Answer

The hang time of 1 second implies the total time for the upward and downward journey is 1 second. Using the formula for the time of flight in projectile motion, $ t = \frac{2v}{g} $, where $ v $ is the initial velocity and $ g $ is the acceleration due to gravity (approximately 9.8 m/s²), we find the initial velocity. The maximum height $ h $ is given by $ h = \frac{v^2}{2g} $. Solving these gives a height of approximately 1.2 m.

The Vertical Height Attained by a Basketball Player Who Achieves