Answer:
v=8m/s
Step-by-step explanation
The initial velocity, u, of the car=32m/s
Since the car has decelerated, we negate the acceleration
This implies that,
![a=-6m{s}^( -2)](https://img.qammunity.org/2020/formulas/physics/high-school/jgzmv6ihoppa6bg031lgextecrp3cotzx2.png)
Time,t=4s
Let v be the final velocity,
using the relation,
![a = (v - u)/(t)](https://img.qammunity.org/2020/formulas/physics/middle-school/ipvv7rfojoflxx23js1ndr8jvcpdypbgh9.png)
We obtain the below by substitution
![- 6= (v - 32)/(4)](https://img.qammunity.org/2020/formulas/physics/high-school/v5epnvo78yx76f8n5jqmge5twkdxotq0nt.png)
By cross multiplying we obtain,
![- 6 * 4 = v - 32](https://img.qammunity.org/2020/formulas/physics/high-school/sohi1e1g1pz53pkfvma9zm8sal1oux9fst.png)
![- 24=v-32](https://img.qammunity.org/2020/formulas/physics/high-school/fp3s8e5jqd08nmlnoz79qodqhi1kgc9x75.png)
![- 24+32=v](https://img.qammunity.org/2020/formulas/physics/high-school/2rwmo22tp68g9gn2p3aq5hueqtj0cckg07.png)
v=8m/s