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3. [Maximum mark: 6] A camera at point C is 3 m from the edge of a straight section of road as shown in the

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3. [Maximum mark: 6] A camera at point C is 3 m from the edge of a straight section of road as shown in the following diagram. The camera detects a car travelling along the road at t = 0. l t then rotates. always pointing at the car, until the car passes 0, the point on the edge of the road closest to the camera. C3m0 A car travels along the road at a speed of 24 ins-1. Let the position of the car he X and let 06): = 9. Find a; the rate ofrotation ofthe camera, in radians per second, at the instant the car passes the point 0

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