It takes a freely falling object 1.80 s to travel the last 32.00 m before it hits the ground. From how high of the ground did it fall? Assume it starts from rest.

Answer 1

V1*t + 0.5g*t^2 = 32.
V1*1.8 + 4.9*1.8^2 = 32.
1.8V1 = 32 - 15.88 = 16.12.
V1 = 9.0 m/s. = Velocity at the beginning of the last 32 m.

h = (V1^2-Vo^2)/2g + 32 =
(9^2-0)/19.6 + 32 = 36.13 m.