Gwen runs back and forth along a straight track. During the timeinterval 0≤t≤45 seconds, Gwen’s velocity, in feet per second, ismodeled by the function v given byv(t)=(250sin(t^2/120))/(t+6).
(a) What is the first time, t1, that Gwen changes direction?Find Gwen’s average velocity over the time interval 0≤t≤t1.
(b) At time t=45 , how far is Gwen from her position at time t=0?
(c) Find the total distance that Gwen runs during the 45 secondsfrom time t=0 to time t=45 .
