### Home > APCALC > Chapter 11 > Lesson 11.2.3 > Problem11-68

11-68.

SOMETHING IS FISHY
An object moves in the $xy$-plane so that its position at any time $t$, where $0 ≤ t ≤ π$, is given by $x(t) = 3\cos(2t)$ and $y(t) = \ln(1 + t) + \sin(2t)$. Use your graphing calculator to complete the parts below.

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

2. For 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. What is the acceleration vector?