# The skier covered a 100 m slope in 20 seconds moving with an acceleration of 0.3 m / s2.

**The skier covered a 100 m slope in 20 seconds moving with an acceleration of 0.3 m / s2. What is the speed of the skier at the beginning and at the end of the path?**

S = 100 m.

t = 20 s.

a = 0.3 m / s2.

V0 -?

V -?

When moving with constant acceleration, the path of the body S is determined by the formula: S = V0 * t + a * t ^ 2/2, where V0 is the initial speed of the movement, a is the acceleration of the movement, t is the time of movement.

V0 * t = S – a * t ^ 2/2.

V0 = S / t – a * t / 2.

V0 = 100 m / 20 s – 0.3 m / s2 * 20 s / 2 = 2 m / s.

We express the final speed of the skier from the formula for acceleration: a = (V – V0) / t.

V = V0 + a * t.

V = 2 m / s + 0.3 m / s2 * 20 s = 8 m / s.

Answer: the initial and final speed of the skier V0 = 2 m / s, V = 8 m / s.