Question

define acceleration and write its mathematical expression and state whether it is a scalar or vector quantity

Answer 1

Acceleration is a vector quantity and not a scalar, because it has both magnitude and direction.

Since the definition of acceleration is “rate of change of velocity” or “change in velocity in a single unit of time”, it means velocity is always involved which is already a vector quantity.

And velocity is defined as “distance covered in a single unit of time in a particular direction” or “rate of change of speed in a given direction”.

V= S/t where ‘V’ is velocity, ‘S’ is distance and ‘t’ is time.

Which means velocity changes when the speed varies or the direction changes or both.

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Answer 2

Acceleration:- The rate at which the velocity of an object changes is called the acceleration of the object.
a =v-u/ t
It is a vector quantity.
By Vihaan......hope it will help you and others also.....