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navik [9.2K]
4 years ago
12

A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2 +672t. After how many seconds d

oes it reach its maximum height?
Mathematics
2 answers:
CaHeK987 [17]4 years ago
6 0

Answer: 21 seconds

Step-by-step explanation:

We know that a parabola with equation y=ax^2+bx+c attains its maximum height at :-

x=\dfrac{-b}{2a}

The given function: h=-16t^2 +672t

It will attain its maximum height at :

t=\dfrac{-672}{2(-16)}=21

Hence , after 21 seconds the projectile will reach its maximum height .

notsponge [240]4 years ago
4 0
It will reach its maximum height at the vertex of the parabola.  Which is always:

(-b/(2a), (4ac-b^2)/(4a))

So the time when this occurs is the x coordinate, or t in this case.

-b/(2a), and b=672 and a=-16 so

t=-672/-32

t=21 seconds
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