Problem 7: A car starts at rest and moves along a perfectly straight highway with an accele of a1 = 10 m/s² for a certain amount of time t. It then moves with constant speed acceleration) for a time t, and finally decelerates with an acceleration az = -10 m/s²time t3 until it comes to a complete stop. The total time of motion is t + t2 +t3 = 25 s total distance travelled by the car is 1 km. Find t2.

Fig: 1