Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is the the height in feet amd x is the time in seconds the rocket is in the air y=-2×^2+5x+7 1)when does the rocket hit the ground?
2)what is the maximum height of the rocket?

1)The rocket hit the ground at    

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

Equating zero

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          

The rocket hit the ground at    

Step(ii):-

     ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

The maximum height at x =

  y = -2 x² + 5 x + 7

The maximum height of the rocket = 12.468 feet

you cant answer this dummy

step-by-step explanation: