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fill in the blank question a west - ward bus is traveling at a speed of…

Question

fill in the blank question a west - ward 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

Explanation:

Step1: Recall relative - velocity formula

The formula for relative velocity is $v_{AB}=v_A - v_B$, where $v_{AB}$ is the velocity of object A with respect to object B, $v_A$ is the velocity of object A and $v_B$ is the velocity of object B.

Step2: Identify velocities

The velocity of the car with respect to the bus - stop $v_{car}=60$ km/h (east) and the velocity of the bus with respect to the bus - stop $v_{bus}=60$ km/h (west). Let the east - direction be positive and the west - direction be negative. So $v_{car}=60$ km/h and $v_{bus}=- 60$ km/h.

Step3: Calculate relative velocity of the car with respect to the bus

Using the relative - velocity formula $v_{car,bus}=v_{car}-v_{bus}$. Substitute the values: $v_{car,bus}=60-(-60)=120$ km/h.

Answer:

120 km/h