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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) Show that for a projectile the angle between the velocity and the x-axis as a function of time is given by,
                              straight theta left parenthesis straight t right parenthesis thin space equals space tan to the power of negative 1 end exponent space open square brackets fraction numerator straight v subscript oy space minus space gt over denominator straight v subscript ox end fraction close square brackets


Let v0x and v0y respectively be the initial components of the velocity of the projectile motion along horizontal (x) and vertical (y) directions. 


Let vx and vy be the horizontal and vertical components of velocity at a point P respectively. 

Time taken by the projectile to reach point P = t

Using the first equation of motion along the vertical and horizontal directions, we get

vy = v0y = gt, and

vx = v0x

therefore space tan space straight theta space equals space straight v subscript straight y over straight v subscript straight x space equals space fraction numerator open parentheses straight v subscript 0 subscript straight y space end subscript minus space gt close parentheses over denominator straight v subscript 0 straight x end subscript end fraction

rightwards double arrow space straight theta space equals space tan to the power of negative 1 end exponent space open parentheses fraction numerator straight v subscript 0 subscript straight y space end subscript minus space gt over denominator straight v subscript 0 straight x end subscript end fraction close parentheses


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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. 


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