Solve the Problem $$d = 25 \cos \left( \frac { 3 \pi } { 4 } t \right)$$

question 90

Essay

Solve the problem.
-A boy is flying a model airplane while standing on a straight line. The plane, at the end of a twenty-five foot
wire, flies in circles around the boy. The directed distance of the plane from the straight line is found to be $$d = 25 \cos \left( \frac { 3 \pi } { 4 } t \right)$$ where d is measured in feet and t is the time in seconds. If d > 0, the plane is in front of the boy; if d < 0, the plane is
behind him.
What is the amplitude? What is the period?
Graph d over two periods beginning at t = 0.

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