After 22 s, the car has velocity
![v=\left(1.7\dfrac{\rm m}{\mathrm s^2}\right)(22\,\mathrm s)=36.4\dfrac{\rm m}{\rm s}](https://tex.z-dn.net/?f=v%3D%5Cleft%281.7%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%2822%5C%2C%5Cmathrm%20s%29%3D36.4%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D)
In this time, it will have traveled a distance of
![\dfrac12\left(1.7\dfrac{\rm m}{\mathrm s^2}\right)(22\,\mathrm s)^2=411.4\,\mathrm m](https://tex.z-dn.net/?f=%5Cdfrac12%5Cleft%281.7%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%2822%5C%2C%5Cmathrm%20s%29%5E2%3D411.4%5C%2C%5Cmathrm%20m)
Over the next 29 s, the car moves at a constant velocity of 36.4 m/s, so that it covers a distance of
![\left(36.4\dfrac{\rm m}{\rm s}\right)(29\,\mathrm s)=1055.6\,\mathrm m](https://tex.z-dn.net/?f=%5Cleft%2836.4%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29%2829%5C%2C%5Cmathrm%20s%29%3D1055.6%5C%2C%5Cmathrm%20m)
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
![v(t)=36.4\dfrac{\rm m}{\rm s}+\left(-5.8\dfrac{\rm m}{\mathrm s^2}\right)t](https://tex.z-dn.net/?f=v%28t%29%3D36.4%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%2B%5Cleft%28-5.8%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29t)
The car comes to rest when
:
![36.4-5.8t=0\implies t=6.3](https://tex.z-dn.net/?f=36.4-5.8t%3D0%5Cimplies%20t%3D6.3)
That is, it comes to rest about 6.3 s after the first 51 s. In this interval, it will have traveled
![\left(36.4\dfrac{\rm m}{\rm s}\right)(6.3\,\mathrm s)+\dfrac12\left(-5.8\dfrac{\rm m}{\mathrm s^2}\right)(6.3\,\mathrm s)^2=114.2\,\mathrm m](https://tex.z-dn.net/?f=%5Cleft%2836.4%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29%286.3%5C%2C%5Cmathrm%20s%29%2B%5Cdfrac12%5Cleft%28-5.8%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%286.3%5C%2C%5Cmathrm%20s%29%5E2%3D114.2%5C%2C%5Cmathrm%20m)
so that after 57.3 s, the total distance traveled by the car is 1581.2 m, or about 1.6 km.