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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
Two ships A and B start together from the same point. A sails 16 km/h towards east and B sails 20 km/h towards north. Find the relative velocity of B w.r.t. A and distance between them after 5 hours.

Velocity of ship A,space space space stack straight v subscript straight A space with rightwards arrow on top space equals space 16 straight i with hat on top
Velocity of ship B,      stack straight v subscript straight B with rightwards arrow on top space equals space 20 straight j with hat on top

The relative velocity of B w.r.t. A is,

          straight V with rightwards arrow on top space equals space stack straight v subscript straight B with rightwards arrow on top space minus space stack straight v subscript straight A with rightwards arrow on top space equals space 20 straight j with hat on top space minus 16 straight i with hat on top

Magnitude of velocity is given by, 

∴      open vertical bar straight V with rightwards arrow on top close vertical bar space equals space square root of left parenthesis 20 right parenthesis squared plus left parenthesis 16 right parenthesis squared end root space equals space 25.6 space km divided by hr

and   tanθ space equals space 20 over 16 equals 1.25 space rightwards double arrow space straight theta space equals space 51.34 degree

So, relative velocity of B w.r.t. A is 25.6 km/h due <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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The distance between two ships after 5 hours, 

          S = Vt

             = 25.6 x 5

             = 128km.

118 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 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

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

What is a scalar quantity?

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