A body, the initial velocity of which is zero, moves uniformly with an acceleration of 2 m / s ^ 2.

A body, the initial velocity of which is zero, moves uniformly with an acceleration of 2 m / s ^ 2. Determine the movement of the body at the beginning of the movement, in one, two, three, four seconds.

a = 2 m / s2 (meters per second squared) – body acceleration;

t1 = 1 second – time interval;

t2 = 2 seconds – time interval;

t3 = 3 seconds – time interval;

t4 = 4 seconds – time span.

It is required to determine S1, S2, S3, S4 (meter) – the movement of the body over time intervals t1, t2, t3, t4.

By the condition of the problem, the initial velocity of the body is zero.

Then:

S1 = a * t1 ^ 2/2 = 2 * 1 ^ 2/2 = 1 ^ 2 = 1 meter;

S2 = a * t2 ^ 2/2 = 2 * 2 ^ 2/2 = 2 ^ 2 = 4 meters;

S3 = a * t3 ^ 2/2 = 2 * 3 ^ 2/2 = 3 ^ 2 = 9 meters;

S4 = a * t4 ^ 2/2 = 2 * 4 ^ 2/2 = 4 ^ 2 = 16 meters.

Answer: in one second the body will travel 1 meter, in two seconds – 4 meters, in three seconds – 9 meters and in 4 seconds – 16 meters.