If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it take the baseball to hit the ground? Use the equation h = –16t2 + 64t + 4.

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OpenStudy (anonymous):

does anyone understand it?

OpenStudy (asnaseer):

h represents the height of the ball from the ground.
so, when it hits the ground, what do you think the height will be equal to?

OpenStudy (anonymous):

4?

OpenStudy (asnaseer):

so you think when it hits the ground then it will be 4ft off the ground?

OpenStudy (anonymous):

i honestly don't know

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OpenStudy (asnaseer):

just think about it, h represents the height of the ball from the ground. so when it is on the ground, what will its height be?

OpenStudy (anonymous):

0?

OpenStudy (asnaseer):

correct - so now you just need to solve the quadratic equation resulting from setting h=0 in your equation.
i.e. solve this:\[0=–16t^2 + 64t + 4\]

OpenStudy (anonymous):

okay

OpenStudy (asnaseer):

you should notice that all the terms can be divided by 4, so you can simplify it first by dividing the entire equation by 4 to get:\[0=-4t^2+16t+1\]

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OpenStudy (anonymous):

yes i got that !

OpenStudy (asnaseer):

so you can solve from here?

OpenStudy (anonymous):

im doing it now

OpenStudy (anonymous):

thankyouu

OpenStudy (asnaseer):

yw

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OpenStudy (anonymous):

can you help me on another one?

OpenStudy (anonymous):

i already started on it but i got lost

OpenStudy (asnaseer):

<--- sure - just post it as a new question on the left