Question

You throw a football straight up in the air with an initial velocity of 24 m/s. How high does it get?

A. 29.4 meters
B. 24 meters
C. 14.7 meters
D. 4.9 meters

Answer 1

The football reaches a maximum height of 29.4 meters.

Step-by-step explanation:

To determine the maximum height reached by the football, we can use the kinematic equation. The football is thrown straight up, so its initial velocity is positive (+24 m/s) and the acceleration due to gravity is negative (-9.8 m/s^2). The formula to calculate the maximum height is:

Max Height = (Initial Velocity)^2 / (2 * Acceleration due to Gravity)

Substituting the given values into the formula, we get:

Max Height = (24 m/s)^2 / (2 * 9.8 m/s^2) = 29.4 m

Therefore, the football reaches a maximum height of 29.4 meters.