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 a vehicle in the beginning of a trip and after $40 \text{ minutes}$ were $1048 \text{ km}$ and $1096 \text{ km}$ respectively,calculate its average velocity. Will the reading on the speedometer show this velocity when the vehicle is moving? Support your answer with reason.

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(N/A) Average speed is given by the formula:
$V_{av} = \frac{\text{Total Distance Travelled}}{\text{Total Time Taken}}$
The distance travelled by the vehicle is:
$1096 \text{ km} - 1048 \text{ km} = 48 \text{ km} = 48000 \text{ m}$
The time taken is:
$40 \text{ minutes} = 40 \times 60 \text{ s} = 2400 \text{ s}$
Therefore,the average speed is:
$V_{av} = \frac{48000 \text{ m}}{2400 \text{ s}} = 20 \text{ m/s}$
The speedometer measures the instantaneous speed of the vehicle at any given moment,not the average speed over a period of time. Therefore,the speedometer will not show this calculated average velocity.

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