Kinematics is a fundamental topic in Class 11 Physics formulas for kinematics that deals with the motion of objects without considering the forces that cause this motion. It is essential for students preparing for board exams, JEE, NEET, and other competitive exams. Understanding kinematics formulas and their applications can help in solving complex problems efficiently.
This article provides a comprehensive list of kinematics formulas at one place from notesmonk formula sheet, mnemonics to remember them easily, and example illustrations for better conceptual clarity.
1. Basic Terms in Kinematics
Before diving into formulas, it is crucial to understand key kinematics terms:
- Distance (d): The total path covered by an object, a scalar quantity.
- Displacement (s): The shortest path between the initial and final position, a vector quantity.
- Speed (v): The rate of change of distance, a scalar quantity.
- Velocity (v): The rate of change of displacement, a vector quantity.
- Acceleration (a): The rate of change of velocity, a vector quantity.
- Uniform Motion: Motion with constant speed or velocity.
- Non-uniform Motion: Motion where velocity or acceleration changes over time.
2. Kinematic Equations of Motion
For motion in a straight line with constant acceleration, the following three equations are widely used:
- First Equation of Motion:
- Where,
- v = final velocity,
- u = initial velocity,
- a = acceleration,
- t = time.
- Mnemonic to Remember: “Velocity Ultimately Accelerates with Time” (V = U + AT)
- Where,
- Second Equation of Motion:
- Where,
- s = displacement.
- Mnemonic to Remember: “Some Unicorns Take Half Apples Twice” (S = UT + ½ AT²)
- Where,
- Third Equation of Motion:
- Mnemonic to Remember: “Velocity Square Equals Unicorn Square Plus 2 Apples Sliced” (V² = U² + 2AS)
Example Problem for Kinematic Equations
Problem: A car starts from rest and accelerates uniformly at 2 m/s² for 5 seconds. Find the final velocity and displacement.
Solution:
- Given: u = 0 m/s, a = 2 m/s², t = 5 s
- Using first equation:
- Using second equation:
- Answer: Final velocity = 10 m/s, Displacement = 25 m
Here you can see our formula sheet with all important illustration you can check out now at NOTESMONK.
3. Motion Under Gravity
When an object moves under the influence of gravity alone, acceleration due to gravity (g = 9.8 m/s²) replaces ‘a’ in kinematic equations:
- For free-fall:
- For upward motion: Replace g with -g as gravity opposes the motion.
Example Problem for Free Fall
Problem: A ball is dropped from a height of 45 m. Find the time it takes to reach the ground.
Solution:
- Given: u = 0 m/s, s = 45 m, g = 9.8 m/s²
- Using second equation:
- Answer: The ball takes approximately 3 seconds to reach the ground.
4. Graphical Representation of Motion
Kinematics equations can also be understood using motion graphs:
- Distance-Time Graph: A straight line for uniform motion, a curve for acceleration.
- Velocity-Time Graph: The slope gives acceleration, area under the graph gives displacement.
- Acceleration-Time Graph: A constant acceleration is shown by a horizontal line.
5. Relative Motion
- When two objects move in the same direction, their relative velocity is:
- When moving in opposite directions:
Example Problem for Relative Motion
Problem: Two cars A and B move in the same direction with velocities 60 m/s and 40 m/s, respectively. Find the velocity of A relative to B.
Solution:
6. Tips to Remember Kinematics Formulas
- Use Mnemonics: As mentioned above, create fun mnemonics to recall formulas quickly.
- Understand the Meaning: Don’t just memorize formulas; understand what each variable represents.
- Practice Problems: Solve different types of problems to gain confidence.
- Use Graphs: Graphs help visualize motion equations and understand their applications.
- Remember Gravity’s Effects: While solving problems, check if the motion is influenced by gravity.
Conclusion
Kinematics is the foundation for understanding advanced topics in mechanics. Mastering these formulas from notesmonk formula sheet with the help of mnemonics, graphs, and solved examples makes problem-solving easier. Regular practice and conceptual clarity will help students excel in Physics exams.
By following these strategies and remembering the key formulas, students can effectively tackle kinematics-related problems in Class 11 and beyond. Keep practicing and enjoy learning Physics!
