The beacon on a lighthouse 50 m from a straight shoreline rotates twice per minute. (See the

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The beacon on a lighthouse 50 m from a straight shoreline rotates twice per minute. (See the figure.)

(a) How fast is the beam moving along the shoreline at the moment when the light beam and the shoreline are at right angles?

(b) In part (a), how fast is the beam moving along the shoreline when the beam hits the shoreline 50 m from the point on the shoreline closest to the lighthouse?

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