SOLUTION: if i shoot an arrow straight into the air and it takes 10 seconds to hit the ground how high did the arrow fly

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Question 678387: if i shoot an arrow straight into the air and it takes 10 seconds to hit the ground how high did the arrow fly
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming your units are in feet.

It will reach the peak at 10/2 = 5 seconds.

The zeros are x=0 and x=10

x=0 or x=10

x=0 or x-10=0

k%2Ax%28x-10%29=0

k%2Ax%5E2-10kx=0

So the function is y+=+kx%5E2-10kx

Compare this to y+=+-16x%5E2%2Bv%2Ax and you'll see that k = -16, which means -10k = 160

So the function is y+=+-16x%5E2%2B160x

Plug in x=5

y+=+-16x%5E2%2B160x

y+=+-16%285%29%5E2%2B160%285%29

y+=+400

So it will fly to a max height of 400 ft.