﻿ Show that there are two angles of projection for which horizontal range is the same. from Physics Motion in A Plane Class 11 Manipur Board

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Show that there are two angles of projection for which horizontal range is the same.

Horizontal range is given by,

where,  is the angle of projection and is less than

We know,

[Where ]

Now,

and

Since

∴

Thus horizontal range is the same for angle of projection θ and α = 90°–θ.

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Give three examples of scalar quantities.

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Give three examples of vector quantities.

Force, impulse and momentum.
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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.

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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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