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 scalar quantity?

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

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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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