Motion in a Plane Class 11 Physics Notes – Formulas & Quick Revision

Motion in a Plane mein vectors, projectile motion aur uniform circular motion aate hain — Class 11 Physics ke sabse scoring topics. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.

Important Formulas & Concepts — Motion in a Plane

• Vector addition: R = √(A² + B² + 2AB cosθ); tanα = B sinθ/(A + B cosθ)
• Projectile: Time of flight T = 2u sinθ/g
• Maximum height H = u² sin²θ / 2g
• Range R = u² sin2θ / g; max range at θ = 45°
• Equation of trajectory: y = x tanθ − gx²/(2u² cos²θ)
• Centripetal acceleration: a = v²/r = ω²r
• v = rω; ω = 2π/T = 2πf
• River-boat / rain problems: relative velocity vector subtraction

Quick Revision Points

• Projectile ki horizontal velocity constant rehti hai, vertical mein g act karta hai
• θ aur (90°−θ) par range same hoti hai
• Circular motion mein speed constant ho sakta hai par velocity nahi
• River-boat: shortest path vs shortest time alag cases hain
• H = R·tanθ/4 — quick relation yaad rakho

FAQ

Projectile motion se kitne marks aate hain?

Boards mein 3-5 marks almost pakka, JEE mein trajectory/range variations har saal.

Kya vectors ke basics bhi covered hain?

Haan, complete PDF mein vector addition, resolution, dot-cross product sab visual maps ke saath hai.

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