What is the maximum distance at which we can throw the body with speed u? from Physics Motion in A Plane Class 11 Manipur Board
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Motion in A Plane

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Physics Part I

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Physics

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What is the maximum distance at which we can throw the body with speed u?

Horizontal range will be maximum when sin 2straight theta is maximum. 

That is, 

   sin 2straight theta = maximum 

rightwards double arrow space space space space space space 2 straight theta space equals space sin space 90 to the power of straight o space equals space 1

or space space space space space space space space 2 straight theta space equals space 90 to the power of straight o space

straight i. straight e. comma space space space space space space straight theta space equals space 45 to the power of straight o 

Therefore, maximum horizontal range is given by, 
straight R subscript straight m space equals space straight u squared over straight g sin space 2 cross times 45 to the power of straight o space
space space space space space equals space straight u squared over straight g 

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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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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 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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