Question

You are shot out of a cannon at the fair. The equation y=-1/5(x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?
a) You reach a maximum height of 45 feet
b) You will land 11.2 feet from the cannon
c) The barrel of the cannon is about 11 feet above the ground.
d)At a point 13 feet from the cannon, you begin to descend.

Answer 1

Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?

a) You reach a maximum height of 45 feet,

b) You will land 11.2 feet from the cannon,

c) The barrel of the cannon is about 11 feet above the ground.

d)At a point 13 feet from the cannon, you begin to descend.

A: When y = 0, x = 28

y’ = 0 at x = 13 where Y is max = 15^2 / 5 = 45

Hence a is true, b is false, c is false, d is false .