Question

1. A BODY FALLS FREELY FROM REST. FIND

A. THE DISTANCE IT FALLS IN 3 SECOND

B. THE SPEED AFTER FALLING 256 FEET.

C. THE TIME REQUIRED TO ATTAIN A SPEED OF 80FT/SEC.

D. THE TIME IT WILL TAKE TO FALL 900 FEET?

Answer 1

a)

$$h=0.5(32.174)(3)^2=145\ m$$

b)

$$v^2=2gh\\v^2=2(32.174)(256)\\v=128\frac{ft}{s}$$

c)

$$80=32.174t\\t=2.49\ s$$

d)

$$900=0.5(32.174)t^2\\t=7.48\ s$$