Step-by-step explanation:
Given that,
Initial speed of the missile u = 0
Final speed of the missile, v = 4.5 km/s = 4500 m/s
Time taken by the missile, t = 90 s
Let a is the acceleration of the sports car. It can be calculated using first equation of motion as :
![v=u+at](https://img.qammunity.org/2020/formulas/physics/middle-school/8u69t2dm31jy4f6e8h3i9msisjzkrvuvq4.png)
![v=at](https://img.qammunity.org/2020/formulas/physics/middle-school/lou86jrirdw7ahqbib4nzxwyep7kg557ig.png)
![a=(v)/(t)](https://img.qammunity.org/2020/formulas/physics/middle-school/25yw327psn1aoj2zavcic784wn040yov5t.png)
![a=(4500\ m/s)/(90\ s)](https://img.qammunity.org/2020/formulas/physics/college/2twxq5rydhgg2c13qwvt409y35tgw3mygh.png)
![a=50\ m/s^2](https://img.qammunity.org/2020/formulas/physics/college/kzg3ljzyla10j95clkqdyk6qnlkhtxws21.png)
Value of g,
![g=9.8\ m/s^2](https://img.qammunity.org/2020/formulas/physics/middle-school/3lkelur45f43o6convcm5fxseu3h9bn4ek.png)
![a=(50)/(9.8)\ m/s^2](https://img.qammunity.org/2020/formulas/physics/college/dnjysl4yzo97mvyuhljq8u05nf13hwlr1n.png)
![a=(5.10)\ g\ m/s^2](https://img.qammunity.org/2020/formulas/physics/college/g4q0tf5rtrpwedqyemad7oorom5zacoxxp.png)
So, the acceleration of the missile is
. Hence, this is required solution.