- Draw the curve $r(t)=(t+2,t^2-4)$ for $0\leq t\leq 3$.
- Compute the velocity $\vec v(t)$, acceleration $\vec a(t)$, and speed $v(t)$ at any time $t$.
- At time $t=3$ state the position $\vec r(3)$ and velocity $\vec v(3)$, and then give a vector equation of the tangent line to the curve at $t=3$.
- Draw $\vec r(t) = (3 \cos t, 3 \sin t)$.
- Draw $\vec r(t) = (3 \cos 2t, 3 \sin 2t)$.
- Hurricane Matthew has a diameter of 28 miles. Assuming the eye is at the origin $(0,0)$, give a parametrization of the exterior edge of the hurricane.
- Sustained winds are 128 mi/hr. Modify your parametrization above so that the speed is 128 mi/hr.
- The eye of the hurricane is moving north west at a speed of 12 mi/hr. Modify your parametrization so that the center moves north west at 12 mi/hr.
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