ï»¿ A ball is projected at angle 0 from a point O â†” (0,0). After passing the ball through a point (x, y) it reaches the ground at a distance R from O. Show that from Physics Motion in A Plane Class 11 Manipur Board

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A ball is projected at angle 0 from a point O â†” (0,0). After passing the ball through a point (x, y) it reaches the ground at a distance R from O. Show that

Let the ball be projected with speed u.

The equation of trajectory is,

Â  Â  Â  Â  Â

On taking x tanÂ common, we get

or Â  Â  Â Â

or Â  Â Â

or Â  Â Â

or Â  Â  Â

Hence, proved the result.Â
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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.Â

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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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Give three examples of vector quantities.

Force, impulse and momentum.
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