NIRAMAY SHARMA
KINEMATICS
KINEMATICS ......................................................................................................... 1
1. Basic Concepts .............................................................................................. 1
Motion ........................................................................................................... 1
Types of Motion ............................................................................................... 1
2. Position, Distance & Displacement .................................................................... 1
Position ......................................................................................................... 1
Distance ........................................................................................................ 1
Displacement ................................................................................................. 1
3. Speed & Velocity ............................................................................................. 2
Speed ............................................................................................................ 2
Velocity.......................................................................................................... 2
Key Points ...................................................................................................... 2
4. Acceleration................................................................................................... 2
Definition ....................................................................................................... 2
Types............................................................................................................. 2
5. Equations of Motion (Uniform Acceleration)......................................................... 3
Three Kinematic Equations................................................................................ 3
Derivation Tips ................................................................................................ 3
6. Graphical Analysis .......................................................................................... 3
Position-Time Graph (x-t) .................................................................................. 3
Velocity-Time Graph (v-t) .................................................................................. 3
Acceleration-Time Graph (a-t)............................................................................ 4
7. Motion in One Dimension ................................................................................. 4
Uniform Motion ............................................................................................... 4
Uniformly Accelerated Motion ........................................................................... 4
NIRAMAY SHARMA
, NIRAMAY SHARMA
8. Free Fall ........................................................................................................ 4
Characteristics ............................................................................................... 4
Equations for Free Fall ...................................................................................... 4
Important Results ............................................................................................ 4
9. Relative Motion............................................................................................... 5
Definition ....................................................................................................... 5
Relative Velocity .............................................................................................. 5
Cases ............................................................................................................ 5
10. Important Formulas Summary ......................................................................... 5
Basic Relations ............................................................................................... 5
Kinematic Equations ........................................................................................ 5
Average Values ............................................................................................... 5
11. Sign Conventions .......................................................................................... 6
Standard Practice ............................................................................................ 6
12. Problem-Solving Tips ..................................................................................... 6
Strategy ......................................................................................................... 6
Common Mistakes to Avoid ............................................................................... 6
Quick Reference Table ........................................................................................ 6
1. Basic Concepts
Motion
• Motion: Change in position of an object with respect to time
• Rest: When position doesn't change with time
• Frame of Reference: Coordinate system from which motion is observed
NIRAMAY SHARMA
KINEMATICS
KINEMATICS ......................................................................................................... 1
1. Basic Concepts .............................................................................................. 1
Motion ........................................................................................................... 1
Types of Motion ............................................................................................... 1
2. Position, Distance & Displacement .................................................................... 1
Position ......................................................................................................... 1
Distance ........................................................................................................ 1
Displacement ................................................................................................. 1
3. Speed & Velocity ............................................................................................. 2
Speed ............................................................................................................ 2
Velocity.......................................................................................................... 2
Key Points ...................................................................................................... 2
4. Acceleration................................................................................................... 2
Definition ....................................................................................................... 2
Types............................................................................................................. 2
5. Equations of Motion (Uniform Acceleration)......................................................... 3
Three Kinematic Equations................................................................................ 3
Derivation Tips ................................................................................................ 3
6. Graphical Analysis .......................................................................................... 3
Position-Time Graph (x-t) .................................................................................. 3
Velocity-Time Graph (v-t) .................................................................................. 3
Acceleration-Time Graph (a-t)............................................................................ 4
7. Motion in One Dimension ................................................................................. 4
Uniform Motion ............................................................................................... 4
Uniformly Accelerated Motion ........................................................................... 4
NIRAMAY SHARMA
, NIRAMAY SHARMA
8. Free Fall ........................................................................................................ 4
Characteristics ............................................................................................... 4
Equations for Free Fall ...................................................................................... 4
Important Results ............................................................................................ 4
9. Relative Motion............................................................................................... 5
Definition ....................................................................................................... 5
Relative Velocity .............................................................................................. 5
Cases ............................................................................................................ 5
10. Important Formulas Summary ......................................................................... 5
Basic Relations ............................................................................................... 5
Kinematic Equations ........................................................................................ 5
Average Values ............................................................................................... 5
11. Sign Conventions .......................................................................................... 6
Standard Practice ............................................................................................ 6
12. Problem-Solving Tips ..................................................................................... 6
Strategy ......................................................................................................... 6
Common Mistakes to Avoid ............................................................................... 6
Quick Reference Table ........................................................................................ 6
1. Basic Concepts
Motion
• Motion: Change in position of an object with respect to time
• Rest: When position doesn't change with time
• Frame of Reference: Coordinate system from which motion is observed
NIRAMAY SHARMA
