A yo-yo oscillates up and down like a sine function y(t)=sin(t). a) What is the displacement over the time interval [0,6π]? b) What is the total distance traveled by the yo-yo over the same time interval? c) What is the minimum velocity of the yo-yo? Minimum speed? d) At what part of the cycle is the yo-yo increasing in speed but decreasing in velocity?

A yo-yo oscillates up and down like a sine function y(t)=sin(t). a) What is the displacement over the time interval [0,6π]? b) What is the total distance traveled by the yo-yo over the same time interval? c) What is the minimum velocity of the yo-yo? Minimum speed? d) At what part of the cycle is the yo-yo increasing in speed but decreasing in velocity?

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Question

A yo-yo oscillates up and down like a sine function y(t)=sin(t).

a) What is the displacement over the time interval [0,6π]?

b) What is the total distance traveled by the yo-yo over the same time interval?

c) What is the minimum velocity of the yo-yo? Minimum speed?

d) At what part of the cycle is the yo-yo increasing in speed but decreasing in velocity?

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