Elliptical cage

Classical Mechanics Level 4

A ball is thrown with some velocity $$v$$ along MA inside an elliptical cage the ball strikes the wall of the cage and rebound and again strike at B.

1) It will strike A 'N' times (excluding 1st one)

2)It will strike B 'S' times (excluding 1st one)

3)It always pass through a fixed pt between every 2 collisions.

1)'E'=0(if above statement is true)

2)'E'=1 (if above statement is false)


4) It will follow the path at t---->00

1)along major axis('P'=1)

2)along minor axis('P'=2)

3)along MA ('P'=3)


note

1)coordinates of m(-3,0)

2)This one is original

'N+S+E+P'=?

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