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