Question

Select the correct answer.

A stone is dropped from a tower 100 meters above the ground. The stone falls past ground level and into a well. It hits the water at the bottom
of the well 5.00 seconds after being dropped from the tower. Calculate the depth of the well. Glven: g=-9.81 meters/second?
A.22.5 meters
B.50.7 meters
C.100 meters
D.110 meters
E.152.45 meters

Answer 1

A

Step-by-step explanation:

Givens

d = 100 meters plus the depth of the well

d = 100 + x where x is the depth of the well.

vi = 0 m/s The object is dropped. It was not thrown.

t = 5 seconds

a = 9.81 m/s^2

formula

d = vi*t + 1/2 a t^2

solution

100 + x = 0 + 1/2 * 9.81 * 5^2

100 + x = 122.625 Subtract 100 from both sides

x = 122.625 - 100

x = 22.6 m

The well is 22.6 meters deep.