A small billiard board is in shape of a rectangle PQRS where PQ = 10 cm and QR = 40 cm. A ball is initially kept at point A which is midpoint of RS, and the ball at A is struck towards side QR such that its direction initially makes an angle of 45° with AR. If its uniform speed on the board is cm/s and does not decrease with time, and if it reflects from the sides of the board in such a manner that the angle it makes with the perpendicular to the sides of the board before striking is same after it gets rebounded by the sides. Approximately how much time will pass before it hits the side QR for the 361st time?
OPTIONS
1) Less than 1 hour
2) 1 hour
3) Between 1 hour and 2 hour
4) 2 hour
5) Greater than 2 hour
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(b) answer is
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