Answer:
t = 3 seconds
Step-by-step explanation:
Given that,
Initial speed, u = 30 m/s
Final speed, v = 0
It slides 45 m to rest.it take the box to come to rest
We need to find how long it take the box to come to rest.
Let a be the acceleration and t is time.
![v^2-u^2=2ad\\\\a=(v^2-u^2)/(2d)\\\\a=((30)^2-u^2)/(2(45))\\\\=10\ m/s^2](https://img.qammunity.org/2022/formulas/physics/high-school/iuweec8wf3pvfs7zxklf0oc4k3ba4hxxdt.png)
Now finding time.
![t=(v-u)/(a)\\\\t=(30-0)/(10)\\\\t=3\ s](https://img.qammunity.org/2022/formulas/physics/high-school/dy44lne1wjz68s28ynh1yn2rvsj9obki4g.png)
So, the required time is 3 seconds.