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Motion in a Plane

NIOS · Class 12 · Physics

Flashcards for Motion in a Plane — NIOS Class 12 Physics. Quick Q&A cards covering key concepts, definitions, and formulas.

45 questions30 flashcards5 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
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 Motion in a Plane – Complete Concept Map, Motion in a Plane — Complete Chapter Mind Map, Motion in a Plane - Full Chapter Concept Hierarchy. These are the concepts NIOS Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Motion in a Plane — NIOS Class 12 Physics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Motion in a Plane?
There are 30 flashcards for Motion in a Plane covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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