Question

2. (10 marks The circle below represents a record which is rotating clockwise at 100/3 revolutions per minute. A bug is walking away from the centre of the record directly toward point P on the rim of the record at 1 cm/s. When the bug is at position R, 10 cm from O, the angle 8 is 7/4 radians. Find the rate at which the distance from the bug to the fixed point Q is changing when the bug is at R. Simplify as much as possible but your final expression may contain square roots or well-known constants (such as it or e).