ratios and prop

Question

For a body falling freely from rest​ (disregarding air​ resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from the top of a tower

700

ft high and hits the ground in

5

​sec, how far did it fall in the first

3

​sec?

Answer 1

h= -16t^2 -60t+ 700

0 = -16(5^2) -60(5) + 700 when it hits ground in 5 seconds

in 3 seconds

h = -16(9) - 180 + 700 = 376 feet