A race car starting from rest travels along a straight road and for 10 s has the acceleration shown. Construct the v - t graph that describes the motion and find the distance traveled in 10s.
(Hint: find v(t) by integrating dv=a(t) dt, substitute end time points to get the v1 at 6 sec and v2 at 10 sec. Then integrate ds=v(t)dt to get the s1(t), s2(t) functions).