# Chapter 8 MOTION

## Uniform Circular Motion

What is Uniform Circular Motion? The movement of a body following a circular path is called a circular motion. Uniform Circular Motion is the term used to describe a body moving in a circular path at a constant speed. While the velocity in this case changes, the speed is constant.A particle must be experiencing some …

## A car accelerates uniformly from 18 km h–1 to 36 km h–1 in 5 s. Calculate (i) the acceleration and (ii) the distance covered by the car in that time.

Initial velocity (u) = 18 km/h Final velocity (v) = 36 km/h

## A train starting from rest attains a velocity of 72 km h–1 in 5 minutes. Assuming that the acceleration is uniform, find (i) the acceleration and (ii) the distance travelled by the train for attaining this velocity.

Initial velocity (u) = 0 m/s Final velocity (V) = 72 km/h

## EQUATION FOR POSITION–VELOCITY RELATION

From the velocity-time graph shown in figure , the distance s travelled by the object in time t, moving under uniform accelerationa is given by the area enclosed within the trapezium OABC under the graph.

## EQUATION FOR POSITION-TIME RELATION

Let us consider that the object has travelled a distance s in time t under uniform acceleration a. In Following figure , the distance travelled by the object is obtained by the area enclosed within OABC under the velocity-time graph AB. Thus, the distance s travelled by the object is given bys = area OABC …

## EQUATION FOR VELOCITY-TIME RELATION or , First equation of Motion by Graphical method.

EQUATION FOR VELOCITY-TIME RELATION Consider the velocity-time graph of an object that moves under uniform acceleration as shown in the following Fig., but now with u ≠ 0). From this graph, you can see that initial velocity of the object is u (at point A) and then it increases to v (at point B) in …

## VELOCITY-TIME GRAPHS

The three equations of motion will be used to create velocity-time graphs. Case 1: Velocity-time graphs with constant velocity (zero acceleration)When the velocity is constant, the velocity-time graph, with Y-axis denoting velocity and the X-axis denoting time, will be like: As the graph shows, the velocity is constant (c) throughout the interval.No matter how much …

## DISTANCE–TIME GRAPHS

A distance-time graph shows how far an object has travelled in a given time. It is a line graph that denotes distance versus time for finding speed. Distance is plotted on the Y-axis. Time is plotted on the X-axis. N.B: Curved lines on a distance-time graph represents that the speed is changing. A Distance-Time Graph’s …