SOMETHING'S FISHY
An object moves in the $xy$-plane so that its position at any time $t$, $0 ≤ t ≤ π$, is given by $x(t) = 3\operatorname{cos} 2t$ and $y(t) =\operatorname{ \ln}(1 + t) +\operatorname{ sin} 2t$. Use your graphing calculator to answer the questions below.

1. Sketch the path on graph paper. Indicate the direction of motion along the path.

   Hint (a):

   What does the graph look like?

2. At what $t$ in the given domain does $y$ attain its maximum value?

3. What is the position $(x(t)$, $y(t))$ of the object when y attains its maximum value?

4. Find the acceleration vector.