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An object moves in the -plane so that its position at any time , where , is given by and . 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 in the given domain does attain its maximum value?

  3. What is the position of the object when attains its maximum value?

  4. What is the acceleration vector?