**Solution:**

acceleration of car

Let be the time (in seconds) when the car overtakes the truck.

Total distance travelled by car at T seconds = area under graph =

( is the velocity of car at T seconds, it is obtained in the same way as we calculated v.)

Total distance travelled by truck at T seconds =

Equating the two distances will lead to a quadratic equation

Solving that gives or (rejected as car only starts at t=5)

(3 s.f.)

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