Question

the center on a high school basketball team wants to increase the maximum height of his jump. what statement correctly describes how he could achieve this goal?
a wearing lighter shoes would increase the height of his jump.
b jumping at a 45° angle would increase the height of his jump.
c jumping with greater acceleration would increase the height of his jump.
d jumping with greater initial velocity would increase the height of his jump.

Explanation:

To determine how to increase the maximum jump height, we analyze each option:

• Option A: Shoe weight doesn't directly affect jump height (gravity and initial velocity matter more).
• Option B: For maximum height in projectile motion, the optimal angle is 90° (vertical), not 45° (which maximizes range).
• Option C: Acceleration during the jump is limited by human physiology and gravity; we can’t simply "increase acceleration" arbitrarily, and it’s not the primary factor for jump height.
• Option D: The formula for maximum height in projectile motion is \( h=\frac{v_{0y}^2}{2g} \) (where \( v_{0y} \) is the vertical component of initial velocity). Increasing initial velocity (and thus \( v_{0y} \)) increases the maximum height.

Answer:

D. Jumping with greater initial velocity would increase the height of his jump.