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Differentiation Q

A body moves such that its displacement, s meters, at a time t seconds is given by the formula s=14 + 9t^2 - t^3.

Find the maximum velocity of the body.

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I've already calculated the formula for V velocity, which is

-3t^2 + 18t.

And i've worked out the times when the body is at rest, which are 0 and 6 seconds, am I right?

I actually haven't a clue what i'm doing.. just playing around with the formulae and numbers. Any suggestions?
Reply 1
The maximum velocity of a particle is when the acceleration is equal to 0. Does that help?
adz1991
The maximum velocity of a particle is when the acceleration is equal to 0. Does that help?


FFS. Yeah thanks. :o:
Reply 3
:wink:

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