Arock is dropped from the surface into a pit. it hits the bottom of the pit in 5.0 seconds. a second rock is then dropped into a second pit, where it hits the bottom in 10 seconds. how much deeper is the second pit compared to the first pit? neglect air resistance

Answer

second pit is 4 times deeper compared to the first pit.

Explanation

The first pit is 125 meters deep while the second pit is 500 meters deep

We know from second equation of motion

..........(1)

here s-depth of pit

u=0 (initial velocity0

a-gravitational acceleration (a=g=9.8m

t-time

when t=5second

put value of t,a and u in equation 1

similarly when t=10s

put value of t,a and u in equation 1

therefore,

It means second pit is 4 times deeper compared to the first pit.