Question

A skier starting from rest accelerates uniformly downhill at 1.8 m/s2 [fwd]. 

How long will it take the skier to reach a point 95 m [fwd] from the starting position?

Answer 1

The time $t$ can be found from the kinematic formula:

$$d = \dfrac{at^2}{2}$$

where $d = 95m$ and $a = 1.8m/s^2$. Thus, obtain:

$$t = \sqrt{\dfrac{2d}{a}} = \sqrt{\dfrac{2\cdot 95m}{1.8m/s^2}} \approx 10s$$

Answer. 10s.