# A level question kinematics

1. Homework Statement
a car takes 3 mins to travel between 2 sets of traffic lights which are 1800m apart, its velocity at each set of lights is 0ms-1

If the car accelerated uniformly for 30 secs and then maintained a constant velocity for the next 2 mins before retarding uniformly, calculate the the maxumum uniform velocity reached.

2. Homework Equations

usual suvat

3. The Attempt at a Solution

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It's probably best done drawing a velocity time graph and using the fact that the area under the graph is the distance travelled.
Have you tried that?

Yes I have looked at that but as I didnt have a velocity it seemed useless.

I think I'm struggling as there is only 2 components to use i.e. time and total distance.

I'll keep trying :)

cheers

The shape of the graph is a trapezium. If you know the formula for its area you have all you need to find the "height" of it. (Height= maximum velocity of car)
If you don't know the formula, treat the graph as 2 triangles and a rectangle and write down the area of each of those 3 shapes in term of the "height" of the graph.
Triangle area is half base times height. Rectangle is length times height.

Yip, that done it...lol thanks alot for your help, it has cheers me up after a freak out earlier. I think I've been looking into further than was needed.

Thanks again,

Jeff