A boy on a sled down a mountain, the length of which is 40 m, in 5, s. Assuming the movement is uniformly

A boy on a sled down a mountain, the length of which is 40 m, in 5, s. Assuming the movement is uniformly accelerated, determine the speed of the sled at the foot of the mountain and the acceleration of the movement.

As we know from the school physics curriculum, in order to determine the distance, if the body is moving uniformly, it is possible to use this formula:

S = at ^ 2/2.

So let’s determine the acceleration with which the boy was sliding down the hill, when it is known from the condition of this problem that he covered 40 meters in 5 seconds:

40 = a * 5 ^ 2/2;

a = 80: 25 = 3.2.

Now we can determine what the speed at the foot of the mountain will be, using another well-known formula:

v = a * t;

v = 3.2 * 5 = 16.

Answer: 16 m / s.