Please help me with this math problem!!?

2013-11-27 4:12 am
I got this question as part of an assignment and I can't for the life of me figure it out! Could somebody please help me out?

A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = - 16t² + 640t. After how many seconds does the projectile take to reach its maximum height?

I made the function look more normal to understand it better: f(x) = - 16x² + 640x
Please show your work, if possible, so I can understand how it's done.

回答 (2)

2013-11-27 4:25 am
✔ 最佳答案
It will reach maximum height when
h'(t) = -32t + 640 = 0
-32t = -640
t = -640/-32 = 20 seconds

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2013-11-27 4:12 am
mathway.com


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