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:
[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]
The velocity term completely cancels because the object was dropped with an initial velocity of 0.
[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]
[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]
