The sleigh rolls down a 72 m long mountain for 12 seconds. Determine the acceleration of the sleigh

The sleigh rolls down a 72 m long mountain for 12 seconds. Determine the acceleration of the sleigh and its speed at the end of the path?

Given:

L = 72 meters – the length of the mountain from which the sled is rolled;

t = 12 seconds – the time it takes for the sled to roll down the mountain.

It is required to determine the sled acceleration a (m / s ^ 2) and their speed at the end of the section v (m / s).

Since it is not specified in the problem statement, we assume that the sled started moving without an initial speed, and also that the movement was rectilinear and uniformly accelerated. Then:

L = a * t ^ 2/2, hence:

a = 2 * L / t ^ 2 = 2 * 72/12 ^ 2 = 144/144 = 1 m / s ^ 2.

Then the speed at the end of the section will be equal to:

v = a * t = 1 * 12 = 12 m / s.

Answer: the acceleration of the sled is 1 m / s ^ 2, the speed at the end of the section is 12 seconds.