The height h (feet) at time t (seconds) of a ball dropped off a building is given by:

h(t)=-16t^2 + 150

a. When does the ball hit the ground?
b. What is its velocity on impact?
c. What are the instantaneous velocities when t=1 and t=2?

Question

The height h (feet) at time t (seconds) of a ball dropped off a building is given by:

h(t)=-16t^2 + 150

a. When does the ball hit the ground?
b. What is its velocity on impact?
c. What are the instantaneous velocities when t=1 and t=2?

myininaya · Answer

(a) the ball hits the ground when the height h=0
so set h=0 and solve for the time t

anonymous · Answer

I felt stupid asking that, but I did because the answer I got was a really big fraction and just looked really weird!