Question

Define:-

1-Acceleration
2-Uniform Acceleration
3-Variable Acceleration
4-Average Acceleration
5-Instantaneous Acceleration

Answer 1

1-Acceleration

Acceleration of an object in motion is defined as rate of change in velocity of the object, i.e.,


Acceleration=Change In Velocity/Time Taken

Acceleration is a vector quantity. It is positive if the velocity is increasing and negative if velocity is decreasing. The negative acceleration is also called retardation or deceleration.

2-Uniform Acceleration

An object is said to be moving with a uniform acceleration if its velocity changes by equal amounts in equal intervals of time, howsoever small the intervals may be.

3-Variable Acceleration

An object is said to be moving with a variable acceleration if its velocity changes by unequal amounts in equal intervals of time, howsoever small the intervals may be.

4-Average Acceleration

When an object is moving with a variable acceleration, then the average acceleration of the object is defined as the ratio of the total change in velocity of the object during motion to the total time taken, i.e.,

Average Acceleration= total change in velocity/total time taken=∆v/∆t

5-Instantaneous Acceleration

The acceleration of the object at a given instant of time or at a given point of motion, is called its instantaneous acceleration.

Answer 2

1. ACCELERATION :- change in velocity per unit time is known as acceleration .
Let inital velocity = u
final velocity = v
time taken to change in velocity u to v = t
acceleration = (final velocity - initial velocity )/time taken
= ( v - u)/t

2. uniform acceleration :- The acceleration , which is always constant in whole motion is known as uniform or constant acceleration .

A uniform acceleration means change in velocity per unit time is constant.
in acceleration - time graph , uniform acceleration is always parallel to x - axis .

(3) variable acceleration :- it's clear by name variable acceleration means acceleration which is variable or change in velocity per unit time is variable .

in acceleration - time graph , variable acceleration can't parallel to x - axis , it may be inclined , parabolic , hyperbolic etc .

(4) average acceleration :-
average acceleration is the ratio of change in velocity and total time taken .
e.g a = ∆V/∆t

(5) instantaneous acceleration :- acceleration in a specific time is known instantaneous acceleration .
e.g a = Lim(∆t→0) ∆V/∆t = dv/dt