Question

A ball is thrown off of a 44 m cliff and lands 17 away. How long was the ball in the air?



Use 9.8 m/s2, round answer to the hundredth place, and DO NOT include units.

Answer 1

The vertical distance traveled by a ball

$$h=\frac{gt^2}{2}$$

Hence, the time of motion of the ball

$$t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2\times 44}{9.8}}=3.00\:\rm s$$