Question

A ball is launched from ground level with an initial upwards velocity of 20 m/s and an initial horizontal velocity of 30 m/s. How far from its starting position does the ball land assuming the ground is level?

Answer 1

Assume that vertical velocity is $u,$

horizontal is $v$.

The time for the ball to go up and down:

$$t=2\cdot\frac{u}{g}$$

The distance the ball will travel horizontally is

$$R=t\cdot v=\frac{2vu}{g}=122\text{ m}.$$