Question

Height of Ball when punted =
h=-0.1d^ +1.18d +2

a) what is the max height of this punt?
b) how far will it have gone when it hits the ground?

Answer 1

sorry equation is h=-.01d^ +1.18 +2

Answer 2

still doesn't make sense...
do you mean h=-.01d^2+1.18d+2?

Answer 3

yes

Answer 4

find derivative to find the max

Answer 5

You find the max (which is the highest point which is called the vertex by)
x = -b/(2a)
x = -1.18/(2*-.01)
x = 59

Answer 6

or that

Answer 7

Then you plug in x = 59 to find the height.

y = -.01(59)^2 + 1.18(59) +2
y = -34.81 + 69.62 + 2
y = 36.81

Which is the height of the ball at the maximum point

Answer 8

Thanks, Very Helpful!