SOLUTION: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
How long is the football i
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Question 322212: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
How long is the football in the air (to the nearest second)?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
How long is the football in the air (to the nearest second)?
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The height is zero when the ball hits the ground.
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Solve -4t^2+16t+1.5 = 0
Quadratic Formula:
t = [-16 +- sqrt(16^2-4*-4*1.5)]/-8
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t = [-16 +- sqrt(280)]/-8
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Positive solution:
t = [-16-sqrt(280)]/-8
t = 4.0917 seconds
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The football is in the air until the height is zero. So, set your function equal to zero and solve for 
just like any other quadratic equation.
.
Exclude the negative root.
John
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