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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
The horizontal range of projectile is 4 times the maximum height attained by the projectile. What is the angle of projection?

Given, 

Horizontal range is equal to 4 times the maximum height attained by the projectile. 

Therefore, 

space space space space space space fraction numerator straight u squared over denominator 2 straight g end fraction sin 2 theta space equals 4 space fraction numerator u squared sin squared theta over denominator 2 g end fraction

i. e. comma space space space space sin space 2 theta space equals space 4 sin squared theta space space left square bracket because space sin space 2 theta space equals space 2 space sin theta space cos theta right square bracket

rightwards double arrow space space space space space space space space space fraction numerator sin space theta over denominator cos space theta end fraction space equals space 1

rightwards double arrow space space space space space space space space space space space tan space theta space equals space 1

rightwards double arrow space space space space space space space space space space space space theta space equals space 45 to the power of o

So, angle of projection is 45°.
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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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Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

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 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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