Homework Help: Maximum distance apart from both cars before Car B catches up with Car B

1. Jun 16, 2009

cyy91

1. The problem statement, all variables and given/known data

Car A travel at uniform velocity at 20 metre per second from t=0s.
Car B starts with 5 metre per second during t=0s and accelerates uniformly to 30 metre per second in t=30s.It travels at constant velocity of 30 metre per second from there onwards

2. Relevant equations

3. The attempt at a solution
A velocity-time graph is plotted for this question.

But i just simply dunno wad to do regarding the maximum distance between both of the cars before Car B catches up with Car A.
I need urgent help and i mean it,thanks...
what can i do with the graph to solve this question?

2. Jun 17, 2009

tiny-tim

Welcome to PF!

Hi cyy91! Welcome to PF!

The distance between the cars at any time is the horizontal distance between the two graphs at that value of t.

There are no curves … the graphs is only straight lines … and two straight lines either get continually further apart, or continually closer together … so the maximum distance must be at one of the "joins".

3. Jun 17, 2009

cyy91

thx alot...understood...

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