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Well, I won't do this for you, but here are some hints:
- Remember velocity is integral of acceleration.
- Remember position is integral of velocity.
- You can ``nest'' integrals, i.e., you can plug velocity (as an integral) into an integral itself, but be careful about the limits of integration. You don't want to reuse variables of integration in more than one nested integral; use ``dummy'' variables. Also pay attention to your limits...
for an arbitrary time should have what value as the upper limit of integration?
- Remember how force is related to acceleration (hint: second law!)
- The third law helps relate the two forces.
Kate Scholberg
2015-02-10