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a west - bound bus is traveling at a speed of 60 km/h with respect to a bus stop. at the same time, a car is traveling east at 60 km/h with respect to the bus stop. the bus will observe the car to have a speed of
if the bus was at rest relative to the bus stop, then the bus would observe the car to have a speed of
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Step1: Determine relative - speed when bus is moving
When the bus is moving west at 60 km/h and the car is moving east at 60 km/h with respect to the bus - stop, we use the formula for relative velocity. The relative velocity of the car with respect to the bus \(v_{cb}\) is the sum of their velocities since they are moving in opposite directions. So \(v_{cb}=60 + 60=120\) km/h.
Step2: Determine relative - speed when bus is at rest
When the bus is at rest relative to the bus - stop and the car is moving east at 60 km/h with respect to the bus - stop, the relative velocity of the car with respect to the bus is equal to the velocity of the car with respect to the bus - stop. So \(v_{cb}=60\) km/h.
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120 km/h
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