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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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(b) Shows that the projection angle θ0 for a projectile launched from the origin is given by,
straight theta subscript straight o space equals space tan to the power of negative 1 end exponent open parentheses space fraction numerator 4 straight h subscript straight m over denominator straight R end fraction close parentheses
where the symbols have their usual meaning.

Maximum space vertical space height. space straight h subscript straight m space equals fraction numerator space straight u subscript 0 squared space Sin squared straight theta space over denominator space 2 straight g end fraction space space space space space space space... space left parenthesis straight i right parenthesis

Horizontal space Range comma space straight R space equals space fraction numerator straight u subscript 0 to the power of 2 space end exponent Sin squared 2 straight theta space over denominator space straight g end fraction space space space space space space space space space space space space space... space left parenthesis ii right parenthesis

fraction numerator straight h subscript straight m space over denominator straight R end fraction equals space fraction numerator Sin squared straight theta space over denominator 2 Sin squared 2 straight theta end fraction space

space space space space space space space space equals space fraction numerator Sin space straight theta space cross times space Sin space straight theta space over denominator 2 space cross times 2 SinθCosθ end fraction

space space space space space space space space equals space fraction numerator sin space straight theta over denominator 4 space Cosθ end fraction space equals space tan space straight theta over 4

rightwards double arrow space tan space straight theta space equals space left parenthesis fraction numerator 4 hm over denominator straight R end fraction right parenthesis

rightwards double arrow space space straight theta space equals space tan to the power of negative 1 end exponent space open parentheses fraction numerator 4 hm over denominator straight R end fraction close parentheses
137 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

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. 


814 Views

What is a vector quantity?

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