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vagabundo
5 days ago
11

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.
Mathematics
1 answer:
Inessa [3.9K]5 days ago
5 0
H(t) = -16t² + 704t = -16(t² - 44t)
Transforming to vertex form: -16(t² - 44t + 484) + 704
h(t) = -16(t - 22)² + 704
The projectile reaches its peak height after 22 seconds, corresponding to the vertex of the parabola at (22, 704).
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