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Motion in A Plane

Physics Part I

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Class 10 Class 12
A particle is projected with speed ‘u’ at an angle θ. Show that it will strike the ground with the speed u.

Let a projectile be projected with speed 'u' at angle 'θ' from O and strike the ground at P with velocity 'v'.

The projectile will strike the ground at P after time equal to the time of the flight.

Now, resolving the components of 'u' in the horizontal and vertical direction, we have

Horizontal and vertical component is given by,

Therefore magnitude of velocity at ground is,

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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.

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Give three examples of vector quantities.

Force, impulse and momentum.
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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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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.
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