(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If a car is going 30m/s and see's an accident 60 meters in front of him/her, at what deceleration must the car apply brakes in order to stop in time?

2. Relevant equations

s(t) = [tex]\int(v)t[/tex]

v(t) = [tex]\int(a)t[/tex]

3. The attempt at a solution

So I know the physics equation that I could use for this very easily (vf^2 = vo^2+2a \Delta (x)

But, for my calculus class I have to do it obvously with only calculus. I don't know why i can't get this, but I have a feeling it will be on my exam tomorrow so I need to know how to show the work.

I am setting it up that V(t) = at + Vot, then integrating to find s(t), but after this point, I have

s(t) = 1/2 a t^2 + vot +s(0) s(0) is 0 for this case because it is from the point of applying brakes.... Anyway, where do I go from here? I am kinda lost and really don't know why.

Any help greatly appreciated, thanks!

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# Homework Help: Integrate to get Position function

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