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A motor boat starts from rest with an ac...

A motor boat starts from rest with an acceleration given by the law `a = (c)/((x+4)^(2))` where c is a positive constant. Given that the velocity of the boat when its displacement is `8 m` is `4m//s`. Find:
(a) The magnitude of c .
(b) The position of the boat when its speed was 4.5 m/s.
(c) The maximum velocity of the boat.

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Verified by Experts

The correct Answer is:
`[48 m^(3)//s^(2), 21.6m 4.9 m//s]`
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