Physics Motion Formulas - Science Class 9

Learn important formulas from the Physics Motion chapter of Class 9 Science with examples, variables and applications.

📐 Physics Motion Formulas

Complete collection of formulas with explanations and examples

Acceleration

$$a = (v - u) / t$$

Description: Acceleration is a standard relation used in physics-motion.

Variables:

  • u = initial velocity
  • v = final velocity

Example:

Apply the relation: a = (v - u) / t

Identify the known values, substitute them in the relation, and solve for the unknown quantity.
Result depends on the substituted values.

Applications:

  • Use this when the quantities in the relation are known and the missing quantity is required.

First Equation of Motion

$$v = u + at$$

Description: First Equation of Motion is a standard relation used in physics-motion.

Example:

Apply the relation: v = u + at

Identify the known values, substitute them in the relation, and solve for the unknown quantity.
Result depends on the substituted values.

Applications:

  • Use this when the quantities in the relation are known and the missing quantity is required.

Second Equation of Motion

$$s = ut + 1/2 at^2$$

Description: Second Equation of Motion is a standard relation used in physics-motion.

Example:

Apply the relation: s = ut + 1/2 at^2

Identify the known values, substitute them in the relation, and solve for the unknown quantity.
Result depends on the substituted values.

Applications:

  • Use this when the quantities in the relation are known and the missing quantity is required.

Speed

$$speed = distance / time$$

Description: Speed is a standard relation used in physics-motion.

Example:

Apply the relation: speed = distance / time

Identify the known values, substitute them in the relation, and solve for the unknown quantity.
Result depends on the substituted values.

Applications:

  • Use this when the quantities in the relation are known and the missing quantity is required.

Third Equation of Motion

$$v^2 = u^2 + 2as$$

Description: Third Equation of Motion is a standard relation used in physics-motion.

Example:

Apply the relation: v^2 = u^2 + 2as

Identify the known values, substitute them in the relation, and solve for the unknown quantity.
Result depends on the substituted values.

Applications:

  • Use this when the quantities in the relation are known and the missing quantity is required.

Velocity

$$velocity = displacement / time$$

Description: Velocity is a standard relation used in physics-motion.

Example:

Apply the relation: velocity = displacement / time

Identify the known values, substitute them in the relation, and solve for the unknown quantity.
Result depends on the substituted values.

Applications:

  • Use this when the quantities in the relation are known and the missing quantity is required.

Quick Reference

Acceleration: $a = (v - u) / t$
First Equation of Motion: $v = u + at$
Second Equation of Motion: $s = ut + 1/2 at^2$
Speed: $speed = distance / time$
Third Equation of Motion: $v^2 = u^2 + 2as$
Velocity: $velocity = displacement / time$

💡 Worked Examples

Step-by-step solutions using Physics Motion formulas

Example 1: Area of Circle

Circle Area Formula
Problem:

Find the area of a circle with radius 7 cm.

Solution:
  1. Given: r = 7 cm
  2. Apply formula: A = πr²
  3. Substitute: A = π × 7²
  4. Calculate: A = π × 49 = 49π cm²
  5. Approximate: A ≈ 49 × 3.14159 ≈ 153.94 cm²
Answer:

Area = 49π cm² ≈ 153.94 cm²

🎯 Practice Problems

Try these problems to test your understanding:

Practice Problem 1

Solve the quadratic equation: x² - 7x + 12 = 0

Practice Problem 2

Find the area of a circle with diameter 14 cm.

Practice Problems

Check Your Formula Recall

Write each formula once, define every variable, then solve one direct substitution problem before moving to mixed questions.

Apply Physics Motion

Pick two formulas from this page and create your own values for the variables. Verify units and signs before calculating.

Derivation Notes

Focus on how the formula is built, not only the final expression. Derivations help with board-exam reasoning and multi-step application questions.

  • Start from the definition or identity used in the chapter.
  • Write assumptions clearly before substituting values.
  • Track units through each step to catch calculation mistakes.

Where These Formulas Are Used

Board Exam Problems

Use these formulas for direct numerical questions, proof-based steps, and short-answer reasoning in Science.

Competitive Practice

Memorize the condition of use for each formula so you can identify the right expression quickly under timed practice.

Related Formula Chapters

Chemistry Atoms Molecules And Matter 2 formulas Physics Force Gravitation Work Energy Sound 11 formulas Physics Motion 6 formulas

These Physics Motion formulas help students revise concepts quickly and apply equations accurately in exam-style problems.

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