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.
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Get startedWhat 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…
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 …
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…
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 / …
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 •…
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 …
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…
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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