Hint: Use trig ratios, s, and 6 to find various lengths,
then use the Pythagorean theorem to relate the variables r and s.
Hint: θ is the difference of two angles, both of which
can easily be expressed as the arctangent of some expression.
Be sure to label x and y coordinates for all important
points.
Make sure Δx, Δy, dx, and dy appear
properly in the picture. Refer to these quantities in your explanation.
Make sure everything is represented and labeled in the picture.
Be careful about your reason for part b.
Hint: v(t)=p’(t). Also, you cannot find
an antiderivative, so this must be done with differentials. Be sure to
give an explanation.
Remember to get things in the form ∞/∞ or 0/0 before applying L’Hospital’s
rule.
Don’t forget to include the constants of integration in the antiderivatives
and solve for them by plugging in t=0. Note: you cannot just set
them equal to the numbers given in the problem.
