Answer:
t = 3 seconds
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.
[tex]v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(30)^2-u^2}{2(45)}\\\\=10\ m/s^2[/tex]
Now finding time.
[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{30-0}{10}\\\\t=3\ s[/tex]
So, the required time is 3 seconds.
