The skier climbed a 50 m mountain in 10 s, moving with an acceleration of 0.4 m / s2.

The skier climbed a 50 m mountain in 10 s, moving with an acceleration of 0.4 m / s2. What is the speed of the skier at the beginning and at the end of the mountain?

To calculate the initial speed, we will use the formula of the distance traveled with uniformly accelerated rectilinear motion:

S = v0 * t + (a * t ^ 2) / 2;

v0 = (S – (a * t ^ 2) / 2) / t = (50 – (0.4 * 10 ^ 2) / 2) / 10 = 3 m / s;

Skier speed at the end of the descent:

v = v0 + a * t = 3 + 0.4 * 10 = 7 m / s.

Answer: v0 = 3 m / s; v = 7 m / s.