A racing car, starting from a standstill and moving with constant acceleration A

A racing car, starting from a standstill and moving with constant acceleration A racing car, starting from a place and moving with constant acceleration, covered 400 m in 8 s. With what acceleration did he move?

Initial data: V0 (initial speed of the racing car) = 0 m / s (start from a place); S (distance traveled) = 400 m; t (duration of movement) = 8 s; the motion is uniformly accelerated.

The acceleration with which the racing car was supposed to move can be expressed from the formula: S = V0 * t + a * t ^ 2/2 = 0 + a * t ^ 2/2, whence a = 2S / t2.

Let’s perform the calculation: a = 2 * 400/8 ^ 2 = 800/64 = 12.5 m / s2.

Answer: The constant acceleration of the racing car was 12.5 m / s2.