For all the problems in this section you should only use the
given parametric equations to determine the answer.
For problems 1 and 2 determine the length of the parametric
curve given by the set of parametric equations.
For these problems you may assume that the curve traces out exactly once
for the given range of t’s.
3. A particle travels along a path defined by the following
set of parametric equations. Determine
the total distance the particle travels and compare this to the length of the
parametric curve itself.
[Solution]
For problems 4 and 5 set up, but do not evaluate, an
integral that gives the length of the parametric curve given by the set of
parametric equations. For these problems
you may assume that the curve traces out exactly once for the given range of t’s.
Problem Pane