Thinking question (urgent please help its for a test)

Question

1. A football is thrown in the air. The path of the ball can be described by the function given where h

is the height of the ball, in meters, and d is the horizontal distance.

h= -0.01d + 0.4d + 7

a) what is the maximum height of the ball?

b) what is the horizontal distance from the thrower when it reaches its maximum height?

C) what is the height of the ball when it is thrown?

Answer 1

h(d) = -.01d^2 +4d + 7

h' = -.02d +4 = 0

d= 4/.02 = 200

a) h(200) = -.01(200)^2 +4(200) + 7 feet = maximum height

= 407 feet high

b) 200 feet

c) 7 feet