A Football Player Kicks a Ball Off a Hill

How tall was the hill he kicked the ball off of?

The hill he kicked the ball off of was 9.74 meters tall.

Calculation of Hill Height

Given:
Initial Velocity (u) = 42.0 m/s
Horizontal distance (d) = 59.2 m
Acceleration due to gravity (g) = 9.8 m/s^2

Using the motion equation:
H = ut + 0.5×gt^2

Calculating time (t):
Time (t) = horizontal distance / velocity
Time (t) = 59.2 / 42 = 1.41 seconds

Calculating Hill Height (H):
H = 0 + 0.5(9.8)×(1.41)^2
H = 0 + 0.5(9.8)×1.9881
H = 0 + 9.74169
H = 9.74 meters