when the shuttle bus comes to a sudden stop to avoid hitting a dog, it decelerates uniformly at 4.6 m/s2 as it slows from 8.2 m/s to 0 m/s. Find the time interval of acceleration for the bus. Answer in units of s

Question

anonymous · Answer

So we have:
$$a=\frac{\Delta v}{\Delta t}=\frac{v_f-v_i}{\Delta t}$$
Where $v_f$ is the final velocity and $v_i$ is the initial velocity. So we need to isolate for $\Delta t$
We know that:
$$\eqalign{
&a=-4.6m/s^2 \
&v_i=8.2m/s \
&v_f=0m/s \
}$$
So therefore:
$$-4.6=\frac{0-8.2}{\Delta t}$$
Your answer is hidden in there! All I did was plug in some numbers! Isolate for $\Delta t$ and you'll have your answer :)

anonymous · Answer

*ahem

Though I DO suspect that this might have been more in place in the "physics" openstudy section; of course I don't mind either way :D

anonymous · Answer

o my god thank you so much! that helps a lot! you worked it out and everything! :)

anonymous · Answer

Hahaha no prob :)