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For a science project, Joseph launches a model rocket. The function "h(s)=-3s^2+6s+45 represents the height in feet of the rocket after s seconds. It will take the rocket ___ second(s) to reach its maximum height. A - 1 B - 3 C - 5 D - 45 E - 48

Respuesta :

Answer:

t = 1 s to reach its maximum height.

Step-by-step explanation:

The function that represents the height of the rocket after s seconds is given by :

[tex]h(s)=-3s^2+6s+45[/tex] ...(1)

For maximum height,

[tex]h'(s)=0\\\\-6s+6=0\\\\s=1[/tex]

It is the time the rocket will take. So, the ball will take 1 second to reach its maximum height.

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