- MECHANICS
- MOTION AND REST
- RECTILINEAR MOTION
- Average Velocity
- Instantaneous Velocity
- Average Speed
- Average acceleration
- Instantaneous AccelerationInstantaneous Acceleration
- GRAPHICAL INTERPRETATION OF SOME QUANTITIES
- MOTION WITH UNIFORM VELOCITY
- UNIFORMLY ACCELERATED MOTION
- DIRECTIONS OF VECTORS IN STRAIGHT LINE MOTION
- STRAIGHT LINE-EQUATION, GRAPH, SLOPE
- PARABOLIC CURVE-EQUATION
- GRAPHS IN UNIFORMLY ACCELERATED MOTION
- INTERPRETATION OF SOME MORE GRAPHS
- Velocity vs time graph
- Acceleration vs time graph
- DISPLACEMENT
- Important Points to Remember
- MOTION WITH NON-UNIFORM ACCELERATION
- Acceleration depending

Mechanics is the branch of physics which deals with the cause and effects of motion of a particle, rigid

objects and deformable bodies etc. Mechanics is classified under two streams namely Statics and

Dynamics. Dynamics is further divided into Kinematics and Kinetics.

Read moreMotion is a combined property of the object and the observer. There is no meaning

of rest or motion without the observer. Nothing is in absolute rest or in absolute

motion.

Read moreRectilinear motion is motion, along a straight line or in one dimension. It deals with the kinematics of a

particle in one dimension.

Read moreThe average velocity of a moving particle over a certain time interval is defined as the displacement

divided by the lapsed time.

Read moreThe velocity at a particular instant of time is known as instantaneous velocity.

The term “velocity” usually means instantaneous velocity

Read moreAverage speed is defined as the total path length travelled divided by the total

time interval during which the motion has taken place. It helps in describing

the motion along the actual path

Read moreThe average acceleration for a finite time interval is defined as :

Average acceleration =

time interval

change in velocity

Average acceleration is a vector quantity whose direction is same as that of the change in velocity.

Read moreThe instantaneous acceleration of a particle is its acceleration at a particular instant of time. It is

defined as the derivative (rate of change) of velocity with respect to time. We usually mean

instantaneous acceleration when we say “ acceleration”. For straight motion we define instantaneous

acceleration as :

Read moreThis expression suggests that the average velocity is equal to

the slope of the line (chord) joining the points corresponding to

Read more· x- t graph is a straight line of slope u through xi.

· as velocity is constant, v - t graph is a horizontal line.

· a-t graph coincides with time axis because a = 0 at all time instants.

Read moreIf a particle is accelerated with constant acceleration in an interval of time, then the motion is termed as

uniformly accelerated motion in that interval of time

Read moreIn straight line motion, all the vectors (position, displacement, velocity & acceleration) will have only one

component (along the line of motion) and there will be only two possible directions for each vector

Read moreSlope - intercept form : y = mx + c is the equation of a straight line whose slope is m & which makes

an intercept c on the y-axis.

Read morePARABOLIC CURVE-EQUATION, GRAPH (VARIOUS SITUATIONS UP, DOWN, LEFT, RIGHT

WITH CONDITIONS)

Read more· x is a quadratic polynomial in terms of t. Hence x - t graph is a parabola

Read more( i) Zero Velocity

As position of particle is fixed at all the time,

so the body is at rest.

Read moreVelocity vs time graph

Read moreAcceleration vs time graph

Read moreDISPLACEMENT FROM v - t GRAPH & CHANGE IN VELOCITY FROM a -t GRAPH

Read moreArea under v-t graph gives displacement, if areas below the t-axis are taken

negative.

Read moreMOTION WITH NON-UNIFORM ACCELERATION

(USE OF DEFINITE INTEGRALS)

Read moreThis is another important expression for acceleration.

If a is in terms of x,

Read more