The skier is sliding down the mountain, moving in a straight line with a constant acceleration of 0.1 m / s2 …

The skier is sliding down the mountain, moving in a straight line with a constant acceleration of 0.1 m / s2 … write the equation expressing the time dependence of the coordinates and projections of the speed vector of the skier, if his initial coordinates and speed are equal to zero

a = 0.1 m / s2.

V0 = 0 m / s.

x0 = 0.

x (t) -?

Vх (t) -?

When the body moves with constant acceleration, its coordinate changes x (t) according to the law: x (t) = x0 + V0x * t + ax * t ^ 2/2, where x0 is the initial coordinate of the body, V0x is the projection of the initial velocity, and – projection of acceleration on the OX axis.

For a skier, the dependence of the coordinate on time will look like: x (t) = 0 + 0 * t + 0.1 m / s2 * t ^ 2/2 = 0.05 * t ^ 2.

With uniformly accelerated motion, the projection of the velocity Vx (t) changes according to the law: Vx (t) = V0x + ax * t.

For a skier: Vх (t) 0 + 0.1 m / s2 * t = 0.1 * t.

Answer: x (t) = 0.05 * t ^ 2, Vx (t) = 0.1 * t.