Homework Sourse10 If Dx x 2cosx represents the distance traveled by a par
10. If D(x) = x + 2cosx represents the distance traveled by a particle from x = 0 to x = 2pi . Find an x value in (0, 2pi ) for which the instantaneous velocity equals the average velocity.
Solution
v=dD/dx=1-2sinx
average velocity=vdx/(2pi)
=(2pi+2-2)/(2pi)=1
1-2sinx=1
sinx=0
x=pi
