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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 position of a particle is given by,
bold r bold space bold equals bold space 3.0 space straight t space straight i with hat on top space minus space 2.0 space straight t squared space straight j with hat on top space plus space 4.0 space straight k with hat on top space straight m
where t is in seconds and the coefficients have the proper units for r to be in metres.
(b) What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

 


Velocity space vector space is comma space straight v with rightwards harpoon with barb upwards on top space equals space 3.0 space straight i with hat on top space minus space 4.0 space straight j with hat on top space

At space straight t space equals space 2.0 space sec

straight v with rightwards harpoon with barb upwards on top space equals space 3.0 space straight i with hat on top space minus 8.0 space straight j with hat on top space

Magnitude space of space velocity comma space open vertical bar straight v with rightwards harpoon with barb upwards on top close vertical bar space equals space square root of left parenthesis 3 right parenthesis squared plus left parenthesis negative 8 right parenthesis squared end root space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 73 space equals 8.54 space straight m divided by straight s

Direction comma space straight theta space equals space tan to the power of negative 1 end exponent space open parentheses straight v subscript straight y over straight v subscript straight x close parentheses space
space space space space space space space space space space space space space space space space space space space space space space equals space tan to the power of negative 1 end exponent space open parentheses negative 8 over 3 close parentheses space

space space space space space space space space space space space space space space space space space space space space space space equals negative space space tan to the power of negative 1 end exponent space left parenthesis 2.667 right parenthesis space

space space space space space space space space space space space space space space space space space space space space space equals space minus 69.45 to the power of straight o

Negative space sign space indicates space that space the space direction space of space
velocity space is space below space the space straight x minus axis.
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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.
1212 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 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

Give three examples of scalar quantities.

Mass, temperature and energy
769 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

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