Question

A batter hits a baseball into the air. The formula y=-16x^2+64x+5models the baseball’s height above the ground, y, in feet, x seconds after it is hit.When does the baseball reach its maximum height? What is that height?

Answer 1

wow

Step-by-step explanation:

Answer 2

Step-by-step explanation:

A batter hits a baseball into the air. The formula that models the baseball’s height above the ground, y, in feet, x seconds after it is hit is given by :

`y=-16x^2+64x+5`.........(1)

(a) We need to find the maximum height reached by the baseball. The maximum height reached is calculated by differentiating equation (1) wrt x as :

`(dy)/(dx)=0`

`(d(-16x^2+64x+5))/(dx)=0`

`-32x+64=0`

x = 2 seconds

(b) The height of the ball is given by equation (1) and putting the value of x in it as :

`y=-16(2)^2+64(2)+5`

y = 69 feets

So, at 2 seconds the baseball reaches its maximum height and its maximum height is 69 feets.