A car moving uniformly accelerated from a state of rest for the fifth second of acceleration passes 6.3 m.

A car moving uniformly accelerated from a state of rest for the fifth second of acceleration passes 6.3 m. What speed did the car develop by the end of the fifth second from the start of movement.

Data: S5 (distance traveled by the body in the fifth second) = 6.3 m; uniformly accelerated motion; the movement began from a state of rest (V0 = 0 m / s).

1) For uniformly accelerated movement, the following dependence is true: S1 (1): S2 (3): S3 (5): S4 (7): S5 (9); S1 / S5 = 1/9 = S1 / 6.3 and S1 = 6.3 / 9 = 0.7 m.

2) Constant acceleration of the body: S1 = V0 + 0.5 * a * t ^ 2 = 0 + 0.5 * a * t1 ^ 2; a = 2S1 / t1 ^ 2 = 2 * 0.7 / 1 = 1.4 m / s2.

3) Vehicle speed by the end of the fifth second: V = V0 + a * t5 = 0 + 1.4 * 5 = 7 m / s.