Question

charlie brown kicks a football at 22.5 m/s at 33.0. how far has the ball move horizontally when it reaches its highest point (unit m)

Answer 1

23.6 m

Step-by-step explanation:

When the ball reaches its highest point, the vertical velocity is 0. First, find the time it takes to reach the highest point. In the y direction:

v = at + v₀

0 m/s = (-9.8 m/s²) t + (22.5 sin 33.0° m/s)

t = 1.25 s

Now find the horizontal distance traveled in that time. In the x direction:

x = x₀ + v₀ t + ½ at²

x = (0 m) + (22.5 cos 33.0° m/s) (1.25 s) + ½ (0 m/s²) (1.25 s)²

x ≈ 23.6 m

The ball moves approximately 23.6 meters horizontally when it reaches its highest point.