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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 range of a particle, when launched at an angle of 15o with the horizontal, is 1.5 km. What is the range of the projectile when launched at an angle of 45o to the horizontal? 


Given that, 


space space space space space space fraction numerator straight u squared space sin space 2 space straight x space 15 to the power of straight o over denominator straight g end fraction space equals space 1.5 space

rightwards double arrow space space space space space space space space space space straight u squared over straight g space straight x space 1 half space equals space 1.5

rightwards double arrow space space space space space space space space space space space space space space straight u squared over straight g space equals space 3 space km space 

Horizontal range for angle of projection 45o will be, 


straight R space equals space straight u squared over straight g space sin space 2 space straight x space 45 to the power of straight o space
space space space space equals straight u squared over straight g space sin space 90 to the power of straight o space equals space 3 space km space

That is the range of projectile is 3 km. 

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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.
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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 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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