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Mathematics 20 Online
lifewmylilweeb:

How long will it take for the ball to hit the ground?

lifewmylilweeb:

This is the graph

lifewmylilweeb:

the equation is f(x)=-32x^2+64x+40

lifewmylilweeb:

the velocity is 64 and the distance is 40

lifewmylilweeb:

@mhanifa

mhanifa:

You need to find the time x, when f(x) = 0

lifewmylilweeb:

how do i find it

mhanifa:

-32x^2+64x+40 = 0 Solve this

mhanifa:

You will get two roots. The positive root is your answer

lifewmylilweeb:

huh i got this

mhanifa:

What did you get?

lifewmylilweeb:

-8(2x+1)(2x-5)

mhanifa:

And the roots are?

lifewmylilweeb:

idk

mhanifa:

-8(2x+1)(2x-5) = 0 (2x+1)(2x-5) = 0

mhanifa:

Can you solve each of the factors?

lifewmylilweeb:

are the roots -1/2 and 5/2

mhanifa:

@lifewmylilweeb wrote:
are the roots -1/2 and 5/2
Yes, the positive root is your solution.

lifewmylilweeb:

so 5/2

mhanifa:

Yes. You may want to make it a decimal

lifewmylilweeb:

ok

lifewmylilweeb:

wait so it will take the ball 2.5 seconds to hit the ground?

mhanifa:

Yes, you got it!

lifewmylilweeb:

thank you

mhanifa:

You are welcome!

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