An automobile accelerates from rest at 1.7 m/s 2 for 22 s. the speed is then held constant for 29 s, after which there is an acceleration of −5.8 m/s 2 until the automobile stops. what total distance was traveled? answer in units of km.

After 22 s, the car has velocity

In this time, it will have traveled a distance of

Over the next 29 s, the car moves at a constant velocity of 36.4 m/s, so that it covers a distance of

so that after the first 51 s, the car will have moved 1467 m.

After the 29 s interval of constant speed, the car's negative acceleration kicks in, so that its velocity at time is

The car comes to rest when :

That is, it comes to rest about 6.3 s after the first 51 s. In this interval, it will have traveled

so that after 57.3 s, the total distance traveled by the car is 1581.2 m, or about 1.6 km.