- Thread starter mr.burger
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Find v(t), giving velocity, but finding the derivative, s'(t).

Find t0, such that v(t0) = 0.

Calculate s(t0) to answer one part.

Find the acceleration function, a(t), by finding the derivative of v(t).

Calculate a(t0) to answer the other part.

- Joined
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If you follow the path the book shows, you may find it a little different from the one I showed. Either way, YOU will have to do it so you can SEE it and FEEL it and THINK about it. Calculus (and mathematics in general) is NOT a game that requires only the memorization of rules. You should be learning how to think.

My views. I welcome others'.

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Anyway, for the particle question.

the function you are given, s(t) is the position of the particle at any time t.

finding the derivative of s(t) will produce v(t) the velocity at any time t.

Finding the derivative of v(t) will produce a(t) the acceleration at any time t.

s(t) = t + (1/t)

s'(t) = v(t) = 1 + -1/t²

v'(t) = a(t) = 2/t³

try it from there