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

cyy91
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Homework Statement



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

Homework Equations


The Attempt at a Solution


A velocity-time graph is plotted for this question.

But i just simply don't know 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?
 
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Welcome to PF!

Hi cyy91! Welcome to PF! :smile:

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". :wink:
 
thx alot...understood...
 

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