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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 km

Final reading in the odometer = 1096 km

Net distance covered = 1096 – 1048 = 48 km

Time = 40 min = 40/60 hr = 2/3 hr

Average velocity cannot be determined because odometer records distance not displacement neither speedometer show velocity it shows speed at an instant.

Average speed can be calculated

Average speed = total distance/ total time taken

= 48/(2/3)

= 72 kmph

No 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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