RIM.6 A highway patrol officer on the ground uses a radar gun to measure a suspe
ID: 1787691 • Letter: R
Question
RIM.6 A highway patrol officer on the ground uses a radar gun to measure a suspect's car's speed to be 50 m/s. A patrol car is traveling at 40 m/s relative to the ground, but is moving in the opposite direction as it approaches the car. Let the direction in which the patrol car is traveling define the +x direction for everyone. We would like to calculate the relative velocity of the suspect and the patrol car (a) Suppose we choose the patrol car to be the Home Frame. What is the sign of in this case, according to the conventions established in this chapter? Please explain your reasoning. (b) Use the Galilean velocity transformation equations to calculate the velocity of the suspect's car relative to the patrol car. Please explain your work.Explanation / Answer
a) I am not aware what are the conventions established in the chapter and what beta denotes. If beta is if the relative velocity will be added or subtracted, then it will be added and the sign is positive.
b)
The formula is simple addition.
The exercise is intended to practice the ability to change reference frame.
You are given the speeds of the two cars relative to the reference frame of the ground and asked what would appear to be happening if you moved the reference frame to that of the patrol car.
Relative to the ground, the patrol car reference frame is now moving in the negative x direction at a rate of 40 m/s.
The result will be the suspects velocity relative to ground minus the new reference frame velocity relative to ground
the suspects car thus appears to approach the patrol car at a rate of
50 - (-40) = 90 m/s in the positive x direction.
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