Consider a rectilinear motion in which the acceleration is of the form: a(v)=−cv2 where c is a positive constant. Suppose that t=0, and v=v0. Solve for x as a function of v.
a) x(v)=−3cv31+x0
b) x(v)=−2cv21+x0
c) x(v)=−cv1+x0
d) x(v)=−4cv41+x0