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**Distance** and **displacement** introduction (video) | Khan Academy

An introduction to the difference between **distance** traveled and **displacement**.
Created by Sal Khan. ... **Average velocity** and **average speed**. Sort by: Top Voted
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For more information, see **Distance** and **displacement** introduction (video) | Khan Academy

The following formulas and definitions are essential to address the questions.

Displacement is defined as the shortest distance between a particle's initial and final positions.

Average speed V_a = \frac{\text{ total distance }}{\text{time }}

Average velocity v_a = \frac{\text{ displacement }}{\text{time }}

Given that

Displacement = 10 km

Total distance = 23 km

Total time taken by the taxi to reach hotel, t = 28 min

a)

Average speed V_a = \frac{\text{ total distance }}{\text{time }}

V_a = \frac{23 km}{28 min}

V_a = 0.82 km/min

V_a = 0.82 * 60 = 49.29 km/h

b)

Average velocity v_a = \frac{\text{ displacement }}{\text{time }}

v_a = \frac{10}{28}

v_a = 0.357 km/min

v_a = 0.357 *60 = 21.43 Km/h

Hence, The value of the average speed is not equal to the average velocity.