Question

use the diagram below, which models a football kicked in projectile motion. what is the vertical component of the balls velocity at point c?

a -9.8m/s²
b -9.8 m/s
c 9.8 m/s²
d 0.0 m/s²

Explanation:

Step1: Analyze projectile motion at peak

In projectile motion, at the peak of the trajectory (point C), the vertical component of velocity momentarily becomes zero. This is because the ball stops moving upward and is about to start moving downward. The acceleration due to gravity ($g = 9.8\ m/s^{2}$) acts throughout the motion, but the question asks for velocity. Options A and C are accelerations (units $m/s^{2}$), so they can be eliminated. Option B is a non - zero velocity value, but at the peak of projectile motion (vertical motion), the vertical velocity component is zero.

Answer:

D. 0.0 m/s