The point, moving uniformly accelerated, has passed 45 m in the last second. Determine the acceleration.

Given:

S = 45 meters – the path covered by the point in the last second of its movement.

It is required to determine a (m / s2) – point acceleration.

Since it is not specified in the problem statement, we assume that the point began to move without an initial speed.

Let t be the total time of point movement. Then the path traveled by the point in the last second is equal to the difference between the path that the point has traveled in time t and the path that the point has traveled in time (t-1):

S = S (t) – S (t-1) = a * t ^ 2/2 – a * (t-1) ^ 2/2 = a * t ^ 2/2 – a * (t ^ 2 – 2 * t +1) / 2 = a * t ^ 2/2 – a * t ^ 2/2 + a * t – a / 2 = a * t – a / 2 = (2 * a * t – a) / 2 = a * (2 * t – 1) / 2, hence:

a = 2 * S / (2 * t -1).

Answer: the acceleration of the body will be equal to a = 2 * S / (2 * t -1).



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.