Imagine that in an effort to attract more passengers, Amtrak trainsnow offer fre

Question

Imagine that in an effort to attract more passengers, Amtrak trainsnow offer free bowling in a specially constructed "bowling alley"car. Imagine that such a train is traveling at a constant speed of30 m/s relative to the ground. A bowlingball is hurled by a passenger on the train in the same direction asthe train is traveling. The ball is measured in the ground frame tohave a speed of 44 m/s. What is the speedin the frame of the train according to the galilean velocitytransformation? (Hints: Draw a picture. How should you define the+x direction? Which frame is the Home Frame? Which is theOther Frame?)

1 m/s
2 in the +x direction
in the -x direction
in the +y direction
in the -ydirection
2

Explanation / Answer

speed of the ball in the frame of the train according to thegalilean velocity transformation is v = 44m/s - 30m/s                                                                                                                                            = 14m/s. The direction is +x direction.

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