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Motion in a Plane — Flashcards

NIOS · Class 12 · Physics

30 flashcards for Motion in a Plane (NIOS Class 12 Physics) to test yourself on key terms and facts. Sample: "What is projectile motion? State its two key"

45 questions30 flashcards15 formulas & key relations5 concepts

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A diagram illustrating uniform circular motion, showing constant speed but continuously changing direction of velocity, leading to acceleration.
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30 Flashcards·
Projectile Motion – BasicsProjectile Motion – Velocity ComponentsProjectile Motion – Maximum HeightProjectile Motion – Time of FlightProjectile Motion – Range
Card 1Projectile Motion – Basics

What is projectile motion? State its two key properties.

Answer

Projectile motion is the motion of an object launched into the air that moves under the influence of gravity alone (ignoring air resistance). Two key properties: 1. Constant horizontal velocity compo…

Card 2Projectile Motion – Velocity Components

A projectile is launched with initial velocity v₀ = 20 m/s at angle θ₀ = 30° to the horizontal. Find its horizontal and vertical components of initial velocity.

Answer

Given: v₀ = 20 m/s, θ₀ = 30° Formulas: • Horizontal component: v₀ₓ = v₀ cos θ₀ • Vertical component: v₀ᵧ = v₀ sin θ₀ Solution: • v₀ₓ = 20 × cos 30° = 20 × (√3/2) = 10√3 ≈ 17.32 m/s • v₀ᵧ = 20 × sin …

Card 3Projectile Motion – Maximum Height

State the formula for maximum height of a projectile. What condition must be satisfied at maximum height?

Answer

At maximum height, the vertical component of velocity becomes ZERO (vy = 0). Formula for Maximum Height: h = v₀² sin²θ₀ / (2g) Where: • v₀ = initial speed (m/s) • θ₀ = angle of projection • g = 9.8…

Card 4Projectile Motion – Maximum Height

A ball is projected with initial speed 30 m/s at 45°. Calculate the maximum height reached. (Take g = 10 m/s²)

Answer

Given: v₀ = 30 m/s, θ₀ = 45°, g = 10 m/s² Find: Maximum height h Formula: h = v₀² sin²θ₀ / (2g) Step 1: sin 45° = 1/√2, so sin²45° = 1/2 Step 2: h = (30)² × (1/2) / (2 × 10) Step 3: h = 900 × 0.5 / …

Card 5Projectile Motion – Time of Flight

State the formula for Time of Flight of a projectile. What does it represent?

Answer

Time of Flight is the total time the projectile remains in the air — from launch to landing. Formula: T = 2v₀ sin θ₀ / g Where: • v₀ = initial speed (m/s) • θ₀ = angle of projection • g = 9.8 m/s² •…

Card 6Projectile Motion – Time of Flight

A projectile is launched at 60° with initial speed 40 m/s. Find the time of flight. (g = 10 m/s²)

Answer

Given: v₀ = 40 m/s, θ₀ = 60°, g = 10 m/s² Find: Time of Flight T Formula: T = 2v₀ sin θ₀ / g Step 1: sin 60° = √3/2 ≈ 0.866 Step 2: T = 2 × 40 × 0.866 / 10 Step 3: T = 69.28 / 10 Step 4: T = 6.93 s …

Card 7Projectile Motion – Range

State the formula for Horizontal Range of a projectile. At what angle is the range maximum?

Answer

Range is the horizontal distance covered by the projectile. Formula: R = v₀² sin 2θ₀ / g Where: • v₀ = initial speed (m/s) • θ₀ = angle of projection • g = 9.8 m/s² • R is in metres (m) Maximum Ran…

Card 8Projectile Motion – Range

A hammer is thrown with initial speed 14 m/s at 45°. Calculate the range. (g = 9.8 m/s²)

Answer

Given: v₀ = 14 m/s, θ₀ = 45°, g = 9.8 m/s² Find: Range R Formula: R = v₀² sin 2θ₀ / g Step 1: sin 2(45°) = sin 90° = 1 Step 2: R = (14)² × 1 / 9.8 Step 3: R = 196 / 9.8 Step 4: R = 20 m Answer: Ran…

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Frequently Asked Questions

What are the important topics in Motion in a Plane for NIOS Class 12 Physics?
Key topics in Motion in a Plane include Projectile Motion – Fundamentals, Projectile Motion – Key Derived Quantities, Circular Motion – Concepts and Centripetal Acceleration, Motion in a Vertical Circle. Study these first, then practise questions on each for the NIOS Class 12 board exam.
How many flashcards are available for Motion in a Plane?
There are 30 flashcards for Motion in a Plane covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Motion in a Plane for the NIOS Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Motion in a Plane. Revise definitions regularly and use flashcards for quick recall before the exam.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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