SOLUTION: The height,h,(in feet)of a baseball that is popped up into the air is a quadratic function of the time, t(in seconds) since it was hit. h=4+60t-16t^2 a)h

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Question 884862: The height,h,(in feet)of a baseball that is popped up into the air is a quadratic function of the time, t(in seconds) since it was hit.
h=4+60t-16t^2
a)how high is the ball when it strikes the bat?
b)in how many seconds will the ball hit the ground?
c)at what time(s) will the ball reach a height of 40 feet?
d)at what time(s) will the ball reach a height of 80 feet?
e)when will the baseball reach its maximum height?
f)what is the maximum height of the ball?
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

a) Substitute 0 for t and solve for h

b) Set the function equal to zero and solve for the positive root

c) Set the function equal to 40 and solve for both roots

d) Set the function equal to 80 and solve for both roots (hint: if the roots are complex, the ball never gets that high)

e) The coordinate of the vertex of is given by . Use this fact to calculate

f) Evaluate the function at

John

My calculator said it, I believe it, that settles it