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A cat is following a rat. The rat is run...

A cat is following a rat. The rat is running with a constant velocity u. The cat moves with constant speed v with her velocity always directed towards the rat. Consider time to be `t = 0` at an instant when both are moving perpendicular to each other and separation between them is L.

A

Find acceleration of the cat at `t = 0`

B

Find the time `t_(0)` when the rat is caught.

C

Find the acceleration of the cat immediately before it catches the rat.

D

Draw the path of the rat as seen by the cat

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