SOLUTION: The equation h = - 16t^2 + 40t + 5 gives the height in feet of a baseball as a function of time in seconds after it is hit. How long does it take for the baseball to hit the ground

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Question 1023093: The equation h = - 16t^2 + 40t + 5 gives the height in feet of a baseball as a function of time in seconds after it is hit. How long does it take for the baseball to hit the ground?
Found 2 solutions by robertb, ikleyn:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Solve
==> by using the quadratic formula and simplifying.
Choose seconds, to two decimal places (for obvious reasons.)
Answer by ikleyn(52769)   (Show Source): You can put this solution on YOUR website!
.
The equation h = - 16t^2 + 40t + 5 gives the height in feet of a baseball as a function of time in seconds after it is hit.
How long does it take for the baseball to hit the ground?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Assuming that the ground level is at h = 0 (you didn't say it in the condition), solve the equation 

 = 

for t. Use the quadratic formula

 =  =  =  = .

You need the positive root  =  = 2.6 seconds.

The problem is solved.


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