The sleds descending from the mountain in 1 s drove 4 m, at the foot of the mountain

The sleds descending from the mountain in 1 s drove 4 m, at the foot of the mountain they were in 5 s, which way did the sled go?

Given:

S1 = 4 meters;

t1 = 1 second – the time during which the sled covered the distance S1;

t2 = 5 seconds – the time it took for the sled to fully descend the mountain.

It is required to determine S (meters) – the total path that the sleigh traveled.

Assuming that the sled started its descent from the mountain without an initial speed, we find the acceleration of the sled:

a = 2 * S1 / t ^ 2 = 2 * 4/1 ^ 2 = 8/1 = 8 m / s ^ 2.

Knowing the acceleration, we will find the traversed path:

S = a * t ^ 2/2 = 8 * 5 ^ 2/2 = 8 * 25/2 = 4 * 25 = 100 meters.

Answer: the sled has covered a distance of 100 meters.