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There are two cars on a straight road, m...

There are two cars on a straight road, marked as x axis. Car A is travelling at a constant speed of `V_(A) = 9 m//s`. Let the position of the Car A, at time `t = 0`, be the origin. Another car B is `L = 40 m` ahead of car A at `t = 0` and starts moving at a constant acceleration of `a = 1 m//s^(2)` (at t = 0). Consider the length of the two cars to be negligible and treat them as point objects.

(a) Plot the position–time `(x–t)` graph for the two cars on the same graph. The two graphs intersect at two points. Draw conclusion from this.
(b) Determine the maximum lead that car A can have.

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