Motion in A Plane

Physics Part I

Physics

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A particle is projected with velocity â€˜uâ€™ in two different ways: first such that horizontal range is maximum and second such that the height is maximum. What is the ratio of maximum height to the maximum horizontal range?

Horizontal range is maximum for angle of projection 45Â°.

Maximum horizontal range is,

Â Â Â Â Â Â Â Â

The height is maximum, if the projectile is projected in vertically upward direction, i.e. Î¸ = 90Â°.Â

Maximum height is,Â

Â Â Â Â Â Â

So, theÂ ratio of maximum height to the maximum horizontal range is given by,Â

Â Â Â Â Â

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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 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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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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