(a) In Ex. 12.6 we found how velocities in the x direction transform when you go from...

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(a) In Ex. 12.6 we found how velocities in the x direction transform when you go from S to S. Derive the analogous formulas for velocities in the y and z directions.

(b) A spotlight is mounted on a boat so that its beam makes an angle θ with the deck (Fig. 12.20). If this boat is then set in motion at speed v, what angle 0 does an observer on the dock say the beam makes with the deck? Compare Prob. 12.10, and explain the difference.

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