MOTION | SPEED NOTES | CBSE | SCIENCE | CLASS 9
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 - Sep 14, 2022
 - 2 min read
 
Rest And Motion
Motion: An object is said to be in motion when its position changes with time.
Rest: An object is said to be at rest when its position does not change with respect to a reference point with time.
A specific point with respect to which we describe the location of an object is called a reference point.
The terms Rest and Motion are relative.
Distance and Displacement
Distance: The total length of path covered by an object is said to be the distance travelled by it.
Displacement: The length of a straight path that joins the initial and final positions of an object is known as the displacement.
Speed And Velocity
Speed
Speed: The distance travelled by an object in unit time is referred to as speed.
Its S.I unit is m/s.
In general speed refers to average speed.
Average speed: For non-uniform motion, the average speed of an object is obtained by dividing the total distance travelled by an object by the total time taken.
Average speed, V = Total distance / Total time
V = s/t
Uniform And Non-Uniform motion
Uniform motion or non accelerated motion: When an object covers equal distances in equal intervals of time, it is said to be in uniform motion. Uniform motion is a non-accelerated motion.
Non-uniform motion or accelerated motion: Motions where objects cover unequal distances in equal intervals of time. Uniform motion is an accelerated motion
Note:
For a uniform motion, the average speed of an object is equal to its instantaneous speed throughout the path.
For a Non - uniform motion, the average speed of an object is not equal to its instantaneous speed throughout the path.
For a Non - uniform motion, speed of an object is not same (changes) throughout the motion.
Velocity
Velocity: Velocity of an object is defined as the rate of change in its net displacement.
For a uniform motion in a straight path, the average velocity is equal to its instantaneous velocity throughout the path.
Velocity of an object is equal to the instantaneous velocity of an object.
Differences Between Speed and Velocity
Uniform And Non-Uniform motion
Uniform motion or non accelerated motion: When an object covers equal distances in equal intervals of time, it is said to be in uniform motion. Uniform motion is a non-accelerated motion.
Non-uniform motion or accelerated motion: Motions where objects cover unequal distances in equal intervals of time. Uniform motion is an accelerated motion.
Acceleration
Acceleration: Change in the velocity of an object per unit time.
Acceleration = Change in velocity / Time
Acceleration = (Final velocity - Intial velocity) / Time
a = (v-u)/t
Derivation Of Equations Of Motion
Derivation of The Equations of Motion By Algebraic Method:
Equation of Motion I: Derivation of v = u + at

Equation of Motion II: S = ut + ½ at^2

Equation of Motion II: Derivation of v^2 - u^2 = 2as

Motion Graphs - Graphical representation of motion
(i) Distance-time graph
For a distance-time graph, time is taken on x-axis and distance is taken on the y-axis.

[Note: All independent quantities are taken along the x-axis and dependent quantities are taken along the y-axis.]
(ii) Velocity-time graph
Equation of motion by graphical methods
(a) Velocity-time relation:
v = u+ at


(ii) The equation for position-time relation:


(iii) Equation for position-velocity relation:


Conclusions From a Distance - Time Graph

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