Step-by-step explanation:
1. The rocket covered a distance,
![d=16\ km=16000\ m](https://img.qammunity.org/2020/formulas/chemistry/middle-school/x80nc1dvhd2cncs6o3cfso29phg7f7vyfe.png)
Time taken, t = 2 s
The velocity of rocket is given by total distance over total time. It is given by :
![v=(d)/(t)](https://img.qammunity.org/2020/formulas/physics/middle-school/4wx27svnw0o3w1yxqyr6gd2q676nfkl1k8.png)
v = 8000 m/s
2. Initial velocity of the rocket, u = 0
Final velocity of the rocket in part 1, v = 8000 m/s
Time taken, t = 10 s
Acceleration of rocket is given change in speed divided by total time. It is given by :
![a=(v-u)/(t)](https://img.qammunity.org/2020/formulas/physics/high-school/ge7n7qpiqku41bi8upy0o4u7eeuffs8qzm.png)
![a=(8000\ m/s)/(10\ s)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/1x0edrjz47ed4zzsgqomnae1cfkbxubxqe.png)
![a=800\ m/s^2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/shnnept2f3v7z7m20rbaz9qq5pvqucz4k2.png)
So, the acceleration of the rocket is
. Hence, this is the required solution.