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A baseball is thrown from a height of 5 feet. The height, h, of the ball at time t seconds is modeled by the equationh(t) = -1662 +100% +5. How long will it take the ball to reach the ground?Select one:O a. 5.8 seconds.O b. 6.3 seconds,O c. 7.2 seconds.O d. 7.6 seconds

Respuesta :

Solution

For this case we have the following situation:

[tex]h(t)=-16t^2+100t+5[/tex]

And we want to find the time where h(t)=0 so we can do this:

[tex]-16t^2+100t-5=0[/tex]

Solving for t we got:

[tex]t=\frac{-100\pm\sqrt[]{(100)^2-4(-16)(-5)}}{2\cdot(-16)}[/tex]

Then the two possible solutions are:

t= 6.299 s or t= -0.049 s

Then the answer is:

O b. 6.3 seconds,

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