When a body moves with an acceleration of 2m / s2, its speed changes from 8m / s to 14m / s

When a body moves with an acceleration of 2m / s2, its speed changes from 8m / s to 14m / s. Determine the time of body movement.

Given:

a = 2 m / s ^ 2 – acceleration of a moving body;

v0 = 8 m / s is the initial velocity of the body;

v1 = 14 m / s – the final speed of the body.

It is required to determine t (seconds) – the period of time during which the body moved.

Since the condition of the problem is not specified, we assume that the motion of the body was uniformly accelerated, that is, with constant acceleration. Then:

t = (V1 – V)) / a = (14 – 8) / 2 = 6/2 = 3 seconds.

Answer: the body moved for a period of time equal to 3 seconds.