(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(Sorry I don't know how to insert nice looking equations)

If the position function of a particle is given by

s = t^{3}- 4.5t^{2}- 7t, t >= 0

, the particle reaches an instantaneous

velocity of 5 m/sec when t =

1

2

3

4

5

2. Relevant equations

3. The attempt at a solution

Well, the problem I'm having is how to do this to find t instead of finding the velocity. If I attempt to find the derivative, I always get stuck at something like:

lim_{h -> t}[(t+h)^{3}- 4.5(t+h)^{2}- 7(t+h)] - [t^{3}- 4.5t^{2}- 7t] ALL OVER h

I can play with that a little bit, but it never gets anywhere. thanks

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# Homework Help: Various Calc I questions

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