starting at the same time and place mike runs alont a flat r

starting at the same time and place, mike runs alont a flat roat at speed of 1.1mph, while jeff runs at a speed denoted by the sinusoidal function v(t)=sin((pi(t)/2). who is ahead after 2 hours. and by what distance.

Solution

distance mike runs = 1.1(2) = 2.2
distance jeff runs = integrate_[0,2]{ sin t/2} =

I\'m assuming your function variables are defined in miles and hours.

Distance ahead = 2.2 - 1.27324 = 0.9267