Question

If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 36t + 4.

quantity of 9 plus or minus square root of 65 all over 8
9 plus or minus square root of 65 end root over 8
quantity of 9 plus or minus square root of 97 all over 8
9 plus or minus square root of 97 end root over 8

Answer 1

\(\color{#000000 }{ \displaystyle h=-16t^2+36t+4 }\)

Where;
t is time in seconds.
h is height in feet.

So, you know that \(\color{#000000 }{ \displaystyle h=4 }\) (height of 4\(\tiny~\)ft).

Answer 2

t=2.36, correct?

Answer 3

Can you please show me how you obtained that value/solution for t?

Answer 4

h=−16t2+36t+4
0=−16t2+36t+4
0=−4t2+9t+1

Using the quadratic formula, we get two values for t: -0.11 and 2.36. Having a negative time doesn't make sense - therefore the answer is 2.36 seconds

Answer 5

Yes

Answer 6

im not sure what to do next.

Answer 7

@SolomonZelman

Answer 8

dont i use the quadratic formula and solve?

Answer 9

do*