Question

1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?

Answer 1

Answer: 1.41 seconds

Explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

`(y_f-y_i)=V_it+(1)/(2)at^2`

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

`(18-50)=(1)/(2) (32.17)t^2\\`

`-32=-16.085t^2\\t=√(1.989) =1.41s`