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Question

# all buses and cars these days are fitted with a speedometer which shows the velocity of the vehicle. a device called odometer records the distance moved by the vehicle. if the reading on the odometer of the vehicle in the beginning of the trip and after 40 min were 1048km and 1096km respectively, calculate its average velocity. will the reading on the speedometer show this velocity when the vehicle is moving? support ur ans. with a reason.

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Solution

## Here,Initial reading in the odometer = 1048 kmFinal reading in the odometer = 1096 kmNet distance covered = 1096 – 1048 = 48 kmTime = 40 min = 40/60 hr = 2/3 hrAverage velocity cannot be determined because odometer records distance not displacement neither speedometer show velocity it shows speed at an instant.Average speed can be calculatedAverage speed = total distance/ total time taken = 48/(2/3) = 72 kmphNo the speedometer will not show this speed, the vehicle will fasten and slow down as per need so the speed will keep on changing from time to time.

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