When a cannon balls fired the equation of his pathway can be modeled by h= -16t^2 + 128t
find the maximum height of the cannonball and find a time it will take for the cannonball to reach the ground

The maximum height of the cannonball  'h' = 256

The time will take for the cannonball to reach the ground 't' =4

Step-by-step explanation:

Explanation:-

The given equation  h(t) = -16 t² + 128 t   ...(i)

Differentiating equation(i) with respective to 't' we get

- 32 t = -128

    t = 4

Now

Again differentiating with respective to 'x'

The function is Maximum at  t = 4

The maximum value

h(t) =-16 t² + 128 t  

h(4) = - 16 (4)² + 128(4) = 256

Conclusion:-

The maximum height of the cannonball  'h' = 256

The time will take for the cannonball to reach the ground 't' =4

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step-by-step explanation:

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people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.