Question

The path of a soccer ball is modeled by the function h(x) = -0.005x2 + 0.25x, where h is the height in meters and x is the horizontal distance that the ball travels in meters. What is the maximum height that the ball reaches? ___________ m. Round your answer to the nearest thousandth.

Answer 1

The equation is of an inverted parabola. So find the point (x coordinate) where the slope is equal to 0. This point indicates where h(x) would be the greatest.

Answer 2

wut

Answer 3

what is unclear?

Answer 4

that whole thing

Answer 5

The way to go about this question is to find the first derivative, h(x)'

Then find the coordinate, x, where h(x)'=0

Then use that x in the original equation, h(x)

Answer 6

i see

Answer 7

thanks mate

Answer 8

no problem

Answer 9

cpation @CamPayne

Answer 10

i mean cap

Answer 11

i'm you mate capt.

Answer 12

and so is @aaronq

Answer 13

no one is online

Answer 14

plot -0.005x^2 + 0.25x

Answer 15

Plot[
-0.005x^2 + 0.25x,{x,0,10}]

Answer 16

you know @Jaedyn she gave you a video