The body, moving uniformly accelerated from the state of rest, covered a distance of 45m in 6 seconds

The body, moving uniformly accelerated from the state of rest, covered a distance of 45m in 6 seconds, at what distance from the initial position it was in 4 seconds from the moment of movement.

To calculate the distance at which a given body should be after 4 seconds of acceleration, we apply the formula: S1 / t12 = a / 2 = S2 / t2 ^ 2, from where we express: S2 = S1 * t2 ^ 2 / t1 ^ 2.

Variables: S1 – full body path (S1 = 45 m); t2 – considered time (t2 = 4 s); t1 – total travel time (t1 = 6 s).

Calculation: S2 = 45 * 42/62 = 20 m.

Answer: After 4 seconds, the target body was 20 meters from the starting point of movement.