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Class 10 Class 12
(a) Show that for a projectile the angle between the velocity and the x-axis as a function of time is given by,

Let v0x and v0y respectively be the initial components of the velocity of the projectile motion along horizontal (x) and vertical (y) directions.

Let vx and vy be the horizontal and vertical components of velocity at a point P respectively.

Time taken by the projectile to reach point P = t

Using the first equation of motion along the vertical and horizontal directions, we get

vy = v0y = gt, and

vx = v0x

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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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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 vector quantities.

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

Mass, temperature and energy
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