(c) What is the acceleration of car P relative to Barbara during the braking?
 KEY IDEAS 
To calculate the acceleration of car P relative to Barbara, we must use the car’s velocities relative to Barbara.

Calculation: We know the initial velocity of P relative to Barbara from part (a) . The final velocity of P relative to Barbara is −52 km/h (this is the velocity of the stopped car relative to the moving Barbara). Thus,

  (Answer)

Comment: We should have foreseen this result: Because Alex and Barbara have a constant relative velocity, they must measure the same acceleration for the car.



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