1.
Introduction to Motion
Definition of Motion: Motion is the change in the position of an object
with respect to time.
Types of Motion:
Translatory Motion: Motion along a straight line or curved path.
Rotary Motion: Motion around a fixed point or axis.
Oscillatory Motion: Repetitive back-and-forth motion (e.g., a pendulum).
2. Newton's First Law of Motion (Law of Inertia)
Statement: An object at rest stays at rest, and an object in motion stays
in motion unless acted upon by an external force.
Inertia: The property of an object to resist changes in its state of
motion.
Example: A book on a table stays at rest unless pushed.
3. Newton's Second Law of Motion
Statement: The force acting on an object is directly proportional to the
mass of the object and the acceleration produced.
Formula:
𝐹
=
𝑚
𝑎
F=ma
𝐹
F is the force applied,
𝑚
m is the mass of the object,
𝑎
a is the acceleration produced.
Unit of Force: Newton (N), where 1 N = 1 kg·m/s².
Example: A car accelerates faster when a smaller mass (like a bicycle) is
pushed with the same force.
4. Newton's Third Law of Motion
Statement: For every action, there is an equal and opposite reaction.
Example: When you jump off a boat, the boat moves backward as a reaction
to your action of jumping forward.
5. Momentum
Definition: Momentum is the product of an object’s mass and velocity.
Formula:
𝑝
=
𝑚
𝑣
p=mv
𝑝
p is momentum,
𝑚
m is mass,
𝑣
v is velocity.
Conservation of Momentum: In an isolated system, the total momentum
remains constant before and after a collision.
6. Important Applications of Newton's Laws
Seatbelts in Cars: When a car suddenly stops, the body continues in
motion (inertia), and the seatbelt applies force to stop you.
Rocket Propulsion: A rocket moves in the opposite direction of the
exhaust gases expelled (Third Law of Motion).
7. Free Fall and Acceleration Due to Gravity
Free Fall: When an object is falling under the influence of gravity
alone, it experiences uniform acceleration.
Acceleration due to gravity (g): 9.8 m/s² near the Earth's surface.
Formula for Distance Traveled in Free Fall:
𝑠
=
𝑢
𝑡
+
1
2
𝑔
𝑡
2
s=ut+
2
1
    gt
2
Where
𝑠
s is the   distance fallen,
𝑢
u is the   initial velocity (usually 0),
𝑔
g is the   acceleration due to gravity, and
𝑡
t is the   time.