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

A car is travelling on cruise control at velocity v1. Ahead on the road, a distance x away, a truck is travelling at a slower constant velocity v2. What is the maximum constant acceleration the car needs to avoid hitting the truck?

2. Relevant equations

3. The attempt at a solution

The only thing I could think of solving was the time when they would collide. So I wrote like this:

v2*t + x = v1*t

x = t(v1 - v2)

t= x/(v1-v2)

I'm not sure if this is the right way to start the problem and if it is I don't know where I can go with this.

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# Velocity and acceleration of two objects

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