Question

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 for full credit. (2 points)

Answer 1

Answer:

• 22 seconds

Step-by-step explanation:

Given function:

• h(t) = -16t² + 704t

Maximum value is obtained at vertex. Using vertex formula to find the value of t at maximum height: x = -b/2a of a  quadratic formula ax² + bx + c

• t = -704/(-16*2) = 22

Answer 2

H(t) = -16t^2 +704t = -16(t^2 -44t)

Putting in vertex form: -16(t^2 -44t +484) + 704

h(t) = -16(t-22)^2 + 704

It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)

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