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A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. After how many seconds does the projectile take to reach its maximum height? Show your work.

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Respuesta :

MathPhys

Answer:

22 seconds

Step-by-step explanation:

The maximum height is at the vertex of the parabola.

For a parabola y = ax² + bx + c, the vertex is at x = -b/(2a).

Here, a = -16 and b = 704.

t = -704 / (2 × -16)

t = 22

It takes 22 seconds for the projectile to reach its maximum height.

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