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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 ball is projected horizontally with a velocity 4g m/s from height 18 meter. What is the velocity of body at t = 3 sec?

Given,

A ball is projected in horizontal direction with velocity 4g m/s. 

straight u subscript straight x space equals space 4 straight g space straight m divided by straight s space space space space space space space straight u subscript straight y space equals space 0
straight a subscript straight x space equals space 0 space space space space space space space space space space space space space space space space space space space straight a subscript straight y space equals space 9.8 space straight m divided by straight s squared space space space space space space space space space space space space space space space

Height from which the ball is projected = 18 m 

                      

At time t=3 s, horizontal and vertical component of velocity is given by, 

straight v subscript straight x space equals space straight u subscript straight x plus straight a subscript straight x straight t space equals space 4 straight g space plus space 0 straight t space equals space 4 cross times 9.8 space equals space 39.2 space straight m divided by straight s space

straight v subscript straight y space equals space straight u subscript straight y plus straight a subscript straight y straight t space equals space 0 space plus space 9.8 straight t space equals space 9.8 cross times 3 space equals space 29.4 space straight m divided by straight s

Therefore, magnitude of velocity is given by, 

v = square root of straight v subscript straight x squared plus straight v subscript straight y squared end root space equals space square root of left parenthesis 4.29 right parenthesis squared plus left parenthesis 2.49 right parenthesis squared end root space equals space 49 space m divided by s 

The angle that the velocity vector makes with horizontal is,

space space space space space space space tan space theta space equals space v subscript y over v subscript x equals 294 over 392 equals 3 over 4
i. e.. space space space space space theta space equals space tan to the power of negative 1 end exponent open parentheses 3 over 4 close parentheses space equals space 37 to the power of o 
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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

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 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

What is a scalar quantity?

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

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