SOLUTION: a ball is shot out of a homemade air cannon. it flies through the air such that its height as a function of time is given by h=-16t^2+64t+10 where h is the height of the ball an

Algebra ->  Graphs -> SOLUTION: a ball is shot out of a homemade air cannon. it flies through the air such that its height as a function of time is given by h=-16t^2+64t+10 where h is the height of the ball an      Log On


   



Question 1034991: a ball is shot out of a homemade air cannon. it flies through the air such that its height as a function of time is given by
h=-16t^2+64t+10
where h is the height of the ball and t is the time since if was fired in seconds.
max estimates that it takes 4 seconds for the ball to hit the ground and cole estimates it takes 5 seconds. algebraically determine who is closer and support your answer.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Given that the height, h(t), is given by
h(t) = -16t^2 + 64t + 10
we need to find t when h = 0, so set it equal to zero and solve...
-16t^2 + 64t + 10 = 0
8t^2 - 32t - 5 = 0
Use the quadratic formula:
t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
and we get
t = 4.15 seconds (or so)
Max is closer.