# 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.

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