Two friends A and B (each weighing 40 kg) are sitting on a frictionless platform some distance d apart. A rolls a ball of mass 4 kg on the platform towards B which B catches. Then B rolls the ball towards A and A catches it. The ball keeps on moving back and forth between A and B. The ball has a fixed speed of 5 m/s on the platform. a. Find the speed of A after he rolls the ball for the first time. b. Find the speed of A after he catches the ball for the first time. c. Find the speed s of A and B after the ball has made 5 round trips and is held by A. d. How many times can A roll theball? e. where is the centre of mas the system A+B+ ball at the end of the nth trip?

Options

A. speed of A after he catches the ball for the first is `(10)/(11)` m/s
B. speed of A after he catches the ball for the first is `(10)/(9)` m/s
C. The center of mass of the system will remain stationary irrespective of the direction of motion of the ball
D. A can rolls the ball for 6 times