Question

Skier is going downhill starting from rest and accelerating at a constant 2.0m/s squared. If it takes her 15 seconds to reach the bottom, what is the length of the slope?

Answer 1

Task. Skier is going downhill starting from rest and accelerating at a constant $a=2.0\,m/s^{2}$. If it takes her $t=15$ seconds to reach the bottom, what is the length of the slope?

Solution. The skier moved with constant acceleration $a$ and initial velocity $v_{0}=0\ m/s$ during time $t=15\ s$. The general formula for the distance passed by the skier has the following form:

$d=v_{0}t+\frac{at^{2}}{2}.$

Substituting values we get that

$d=v_{0}t+\frac{at^{2}}{2}=0*15+\frac{2*15^{2}}{2}=225\ m.$