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(Solved): (d) At the Olympic 50m freestyle final, a camera is positioned at a distance of 10m from the la ...



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(d) At the Olympic freestyle final, a camera is positioned at a distance of from the lane at the half-way point. If the speed of a swimmer is , how quickly must the angle of the camera change to track the swimmer when the swimmer is at the mark? The length of the pool is . (c) The line density of a tapered metal bar is given by the formula in units of , where is the distance along the bar in metres. The first moment of mass of the bar is given where is the length of the bar. Compute the value of if .


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   Let the distance traveled by swimmer be    .
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