An automobile starting from rest speeds up to 12 m/s with a constant acceleration of 1.2 m/s2. Runs at fast speed for some time, and finally comes to rest with a deceleration of 1.5 m/s2. If the total...

An automobile starting from rest speeds up to 12 m/s with a constant acceleration of
1.2 m/s2. Runs at fast speed for some time, and finally comes to rest with a
deceleration of 1.5 m/s2. If the total distance travelled is 390 m, find the total
time required. Draw the v-t and s-t curves.