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Question

Straight distance between a hotel and a railway station is $$10km$$, but the cirular route is followed by a taxi covering $$23km$$ in $$28$$ minutes. What is average speed and magnitude of average velocity? Are they equal?


Solution

(a)Total distance travelled =23km
    Total time taken=28 min=28/60 hrs
    Average speed;
    $$=\dfrac {Total distance travelelled}{Total time}$$
    $$=\dfrac{23}{\left(\dfrac{28}{60}\right)}$$
    $$=49.29kmph$$
(b)Distance between hotel and station= 10km= Displacement of the taxi
    Average velocity;
    $$=\dfrac{10}{\left(\dfrac{28}{60}\right)}$$
    $$=21.43kmph$$
Therefore, the two physical quantities (average speed and average velocity) are not equal.
                 

Physics

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