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R1B.5 Suppose that in an effort to attract more passen- Amtrak trains now offer free bowling in a specially constructed “bowling alley” car. Imagine that such a train is traveling at a constant speed of 35 m/s relative to the ground. A bowling ball is hurled by a passenger on the train in the same direction as the train is traveling. Assume gers, the Galilean transformation equations are true. (a) The ball is measured in the ground frame to have a speed of 42 m/s. What is its speed in the frame of the train according to the Galilean velocity transformation? (b) Suppose the ball’s velocity is 8 m/s in the train frame. What is its speed relative to the ground? (Hints: Draw a picture and be sure to define a +x direction and specify which frame is the Home Frame.)