Question

A soccer ball was kicked off the roof of a building going

20m/s. It took 5 s for the soccer ball to hit the ground?
Find the vertical final velocity, the distance the ball
traveled horizontally, and the height the ball fell.

Answer 1

Final vertical velocity = -29m/s

Horizontal distance = 100m

Height = 20.41m

Step-by-step explanation:

1. The vertical final velocity can be calculated thus: vy = vyo - gt

Where;

vy = vertical velocity (m/s)

vyo = vertical initial velocity (20m/s)

g = acceleration due to gravity (9.8m/s²)

t = time (5s)

Hence, vy = vyo - gt

vy = 20 - (9.8 × 5)

vy = 20 - 49

vy = -29m/s

2. x = V0 x t

Where;

x = horizontal distance (m)

Vo = initial velocity

t = time (s)

x = 20 × 5

x = 100m

3. Maximum height = (voy)²/2g

= 20²/ 2 × 9.8

= 400/19.6

= 20.41m