Question

Please help!
A kicker kicks a football toward the opponent's goal line during a game. The ball begins its flight with an initial velocity of 100 feet per second when it is kicked at a height of 3 feet by the kicker. To the nearest foot, what maximum height will the ball reach?

You may use the function:
h(t)=-16t^2+100t+3
100 feet
129 feet
159 feet
The answer cannot be determined

Answer 1

Do you know how to use the quadratic formula?

Answer 2

I think that's what you use

Answer 3

\(\large{(\dfrac{-b}{2a},f(\dfrac{-b}{2a}))}\)

Answer 4

i don't get it, what would i do after finding -b/2a?

Answer 5

first find a and b

Answer 6

a= -16 b=100 right?

Answer 7

\(f(x)=ax^2+bx+c\)

Answer 8

yes so plug it in

Answer 9

25/8

Answer 10

\(\dfrac{-100}{2*(-16)}\)

Answer 11

2* - 16 = 32
-100/ 32 = -3.125

Answer 12

now plug that in

Answer 13

wait why is it negative? -/- is positive??

Answer 14

oh sorry didn't see that :P

Answer 15

-100/-32

Answer 16

so 3.125

Answer 17

oh okay so 3.125
do i plug it into the given function

Answer 18

yes put it instead of t

Answer 19

okay i got 159!

Answer 20

so 159 is your answer :D

Answer 21

thank you!! :)

Answer 22

yw :)