# a particle is moving in a straight line with initial velocity u and retardation av, where v is the velocity at any time t

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a particle is moving in a straight line with initial velocity u and retardation av, where v is the velocity at any time t

## 1 Answers

# Uniform Motion

But, if a person is moving or any body is moving, how much will it cover in a given time? If we consider an instant of time, Is it moving uniformly or taking rest and then moving ? What makes a body move uniformly ?

To know the answers of all these questions, we will study the concept of

**Uniform Motion**. The change in position of an object with respect to time is called as motion, which is measured with respect to a reference frame. Velocity, acceleration, displacement and time are the basic parameters which describe motion.

**There are basically two types of motion :**

**Uniform motion****Non-uniform motion**

**Uniform motion**.

For the body to be in the uniform motion, it must be moving in the straight line path.

The above graph shows, in every one second, there is a displacement of 10m.

The body going with constant increase in velocity in equal interval of time is also the uniform motion.

The slope of displacement-time graph for uniform motion is constant and gives constant velocity.

Slope = $\frac{dY}{dX}$ = $\frac{displacement}{time}$

Velocity (V) = $\frac{d}{t}$, is constant

**Uniform Acceleration Graph **

The V-t graph for uniform motion gives the constant acceleration.

The slope of uniform motion of V-t graph gives acceleration.

Slope = $\frac{dY}{dX}$ = $\frac{dv}{dt}$, gives acceleration. The SI unit is m/s

^{2}.

**Some examples of uniformly accelerated motion:**

- The motion of a free falling body.
- The motion of a bicycle going down the slope of a road when the rider is not pedaling and wind resistance is negligible.
- The motion of a ball rolling down an inclined plane.
- The motion of the Pendulum Clock

**(a) V = U + at (b) V**

(c) S = U t + $\frac{1}{2}$ at

^{2}– U^{2}= 2aS(c) S = U t + $\frac{1}{2}$ at

^{2}where V = Final Velocity

U = Initial velocity

a = Acceleration and

S = Displacement