﻿ Show that the ratio of the horizontal range to the maximum height attained by projectile is equal to 4 cot  and is independent of speed of projection. from Physics Motion in A Plane Class 11 Manipur Board

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Show that the ratio of the horizontal range to the maximum height attained by projectile is equal to 4 cot  and is independent of speed of projection.

The horizontal range attained by projectile projected with velocity u at angle θ is,

Maximum height attained by projectile projected with velocity u at angle θ is,

The ratio of horizontal range to maximum height is given by,

Hence, the result proved.
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Give three examples of vector quantities.

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

Mass, temperature and energy
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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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