Within 20 seconds, having passed 50m on the way, the body increased its speed by 4 times. Find an accelerated body ?

Task data: t (duration of movement) = 20 s; S (distance traveled) = 50 m; V (end speed) = 4V0 (start speed).

1) From the formula for calculating acceleration, we express the initial velocity of the body: a = (V – V0) / t = (4V0 – V0) / t = 3V0 / t, whence V0 = a * t / 3.

2) Determine the acceleration: S = (V + V0) * t / 2 = (4V0 + V0) * t / 2 = 5V0 * t / 2 = 5 * (a * t / 3) * t / 2 = 5 * a * t ^ 2/6, whence a = 6 * S / (5 * t2) = 6 * 50 / (5 * 20 ^ 2) = 0.15 m / s2.

Answer: The body was moving with an acceleration of 0.15 m / s2.