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Motion in A Plane

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
A train is moving with a velocity of 30 km/hr due east and a car is moving with a velocity of 40 km/hr due north. What is the velocity of car as  appears to a passenger in the train? 

Velocity of train, vT = 30 km /hr

Velocity of car, vc = 40 km/hr

To find: relative velocity of car w.r.t. train. To bring the train at rest, apply equal and opposite velocity of train on car, which is 30 km/hr. 

So, relative velocity of car w.r.t train is, 

vCT = OD = (OB2 + BD2)1/2

               = (402 + 302)1/2 

               = 50 km/hr 

Let <DOB = straight theta, then 

 tan space straight theta space equals space BD over OB space equals space 30 over 40 space equals space 3 over 4 space
space space space space space space space space space space equals space 0.75 space equals space tan space 36 to the power of straight o space 52 apostrophe

space space space space space space space space space space equals space 36 to the power of straight o space 52 apostrophe comma space west space of space north. space 

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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Give three examples of vector quantities.

Force, impulse and momentum.
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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a scalar quantity?

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