Determine the time required for a car to travel a distance d along a road if the car starts from rest, reaches a maximum speed at some intermediate point, and then stops at the end of the road. The car can accelerate at a₁ and decelerate at a₂. Given:

Let t₁ be the time at which it stops accelerating and t the total time.

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d = 1 km a1 = 1.5 m 2 S m a2 = 2. 2 S