A car starts from rest at a point \(A\) and moves along a straight horizontal road. The car moves with constant acceleration \(1.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) for the first 8 s . The car then moves with constant acceleration \(0.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) for the next 20 s . It then moves with constant speed for \(T\) seconds before slowing down with constant deceleration \(2.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) until it stops at a point \(B\).
Find the speed of the car 28 s after leaving \(A\).
Sketch, in the space provided, a speed-time graph to illustrate the motion of the car as it travels from \(A\) to \(B\).
Find the distance travelled by the car during the first 28 s of its journey from \(A\).