During the last second of free fall without initial velocity, the body flew 35 m.

During the last second of free fall without initial velocity, the body flew 35 m. Determine the height from which the body fell.

Data: S1 (distance that the body flew in the last second of free fall) = 35 m.

Reference values: g (acceleration of gravity, acceleration of a body) ≈ 10 m / s2.

1) The speed that the body developed until the last second of the fall (t1 = 1 s): S1 = V0 * t1 + 0.5g * t1 ^ 2, whence V0 = (S1 – 0.5g * t ^ 2) / t = ( 35 – 0.5 * 10 * 1 ^ 2) / 1 = 30 m / s.

2) The duration of the fall of the body: t = t0 + t1 = V0 / g + t1 = 30/10 + 1 = 4 s.

3) The height from which the body fell: S = 0.5 * g * t ^ 2 = 0.5 * 10 * 4 ^ 2 = 80 m.