The body, moving at a speed of 30 m / s, begins to decelerate and travels 45 m in the second second.

The body, moving at a speed of 30 m / s, begins to decelerate and travels 45 m in the second second. The body moves with acceleration

Task data: V0 (initial speed of movement) = 30 m / s; S (2) (distance covered in the second second of movement) = 45 m.

The acceleration with which the given body moved is determined from the formula: S (2) = 45 = S2 – S1 = V0 * t2 – a * t2 ^ 2/2 – (V0 * t1 – a * t1 ^ 2/2) = 30 * 2 – a * 4/2 – 10 * 1 + a * 1/2 = 60 – 2a – 30 + 0.5а = 30 – 1.5а, whence a = (30 – 45) / 1.5 = -10 m / s2, therefore, the body did not move slowly, but accelerated.

Answer: The module of the accelerated motion of a given body is 10 m / s2.