Question: pls answer all parts 3. An avid runner starts from home at t= 0, and runs back and forth along a straight east-west road. The

pls answer all parts

3. An avid runner starts from home at t= 0, and runs back and forth along a straight east-west road. The velocity of the runner, v(t) (given in km/hour) is a function of time t (given in hours). The graph of the runner's velocity is given by v(t) = 10 sin(t) with t counted in radians. a. How far is the runner from home after 3 hours? b. What is the total running distance after hours? c. What is the farthest distance the runner can be away from home? Explain. d. If the runner keeps running, how many times will the runner pass by home? Explain.

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