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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 projectile is fired an angle of 45o with the horizontal.Elevation angle of the projectile at the highest point as seen from the point of projection is 

  • 60o

  • tan-1(1/2)

  • tan to the power of negative 1 end exponent space open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses
  • 45o


B.

tan-1(1/2)


Height of projectile

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

straight H space equals space fraction numerator straight u squared sin squared 45 to the power of straight o over denominator 2 straight g end fraction

straight H space equals space fraction numerator straight u squared over denominator 4 straight g end fraction
Range space of space projectile

straight R space equals space fraction numerator straight u squared sin space 2 straight theta over denominator straight g end fraction
space equals fraction numerator straight u squared sin space 90 to the power of straight o over denominator straight g end fraction
space
straight R space equals space straight u squared over straight g

straight R over 2 space equals space fraction numerator straight u squared over denominator 2 straight g end fraction

tan space straight alpha space equals space fraction numerator straight H over denominator straight R divided by 2 end fraction
space equals space fraction numerator straight u squared divided by 4 straight g over denominator straight u squared divided by 2 straight g end fraction

tan space straight alpha space equals space 1 half
straight alpha space equals space tan to the power of negative 1 end exponent space open parentheses begin inline style 1 half end style close parentheses

Height of projectile

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

straight H space equals space fraction numerator straight u squared sin squared 45 to the power of straight o over denominator 2 straight g end fraction

straight H space equals space fraction numerator straight u squared over denominator 4 straight g end fraction
Range space of space projectile

straight R space equals space fraction numerator straight u squared sin space 2 straight theta over denominator straight g end fraction
space equals fraction numerator straight u squared sin space 90 to the power of straight o over denominator straight g end fraction
space
straight R space equals space straight u squared over straight g

straight R over 2 space equals space fraction numerator straight u squared over denominator 2 straight g end fraction

tan space straight alpha space equals space fraction numerator straight H over denominator straight R divided by 2 end fraction
space equals space fraction numerator straight u squared divided by 4 straight g over denominator straight u squared divided by 2 straight g end fraction

tan space straight alpha space equals space 1 half
straight alpha space equals space tan to the power of negative 1 end exponent space open parentheses begin inline style 1 half end style close parentheses
681 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 scalar quantity?

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

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views