SOLUTION: The height in feet, h, reached by a softball after t seconds is given by the function h(t) = −16t2 + 87t + 3. During what time interval did the softball reach an altitude

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Question 1098932: The height in feet, h, reached by a softball after t seconds is given by the function
h(t) = −16t2 + 87t + 3.
During what time interval did the softball reach an altitude of at least 80 ft? Round to 2 decimal places. (Enter your answer using interval notation.)
The answer I came up with was [.18,5.26]
My teacher looked and doesn't know why the computer counted this wrong.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I'll try it:



Use quadratic formula










and



The softball reaches at least a height of 80 ft
between 1.11 sec and 4.32 sec
------------------------------------------
check:
Here's the plot of h(t):

My answers look at least close

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