### Home > CALC > Chapter 11 > Lesson 11.2.3 > Problem 11-68

11-68.

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 cos 2*t*and*y*(*t*) = ln(l +*t*) + sin 2*t*. Use your graphing calculator to answer the questions below. Homework Help ✎Sketch the path on graph paper. Indicate the direction of motion along the path.

At what

*t*in the given domain does*y*attain its maximum value?What is the position (

*x*(*t*),*y*(*t*)) of the object when*y*attains its maximum value?Find the acceleration vector.