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

Step-by-step 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:

$(y_f-y_i)=V_it+\frac{1}{2}at^2$

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

$(18-50)=\frac{1}{2} (32.17)t^2$

$-32=-16.085t^2\\t=\sqrt{1.989} =1.41s$