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Motion in A Plane

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Physics Part I

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest taxi driver takes him along a circuitous path 23 km long and reaches the hotel in 28 minutes.
What is:
(a) the average speed of the taxi?
(b) the magnitude of average velocity? Are the two equal? 


Magnitude of displacement = 10 km

Total path length = 23 km

Time taken = 28 min = 7/15 hr.


space space Average space speed space equals space fraction numerator Distance space travelled over denominator Time end fraction

                        equals fraction numerator 23 over denominator 7 divided by 15 end fraction equals 49.3 space km divided by hr

Magnitude of average velocity is,

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Therefore, we can see that the average speed and magnitude of average velocity are not equal.


What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.

Give three examples of vector quantities.

Force, impulse and momentum.

Give three examples of scalar quantities.

Mass, temperature and energy

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors. 


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