Motion in a Straight Line kinematics ka pehla chapter hai — displacement, velocity, acceleration aur equations of motion cover hote hain. 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 Straight Line
- v = u + at
- s = ut + ½at²
- v² = u² + 2as
- Distance in nth second: sₙ = u + a(2n−1)/2
- Average velocity = total displacement / total time
- Instantaneous velocity: v = dx/dt; acceleration: a = dv/dt = v(dv/dx)
- Relative velocity: v_AB = v_A − v_B
- Free fall: v = gt, h = ½gt² (u = 0)
Quick Revision Points
- Displacement vector hai, distance scalar — displacement ≤ distance
- v-t graph ka slope = acceleration; area under v-t graph = displacement
- x-t graph ka slope = velocity
- Uniform acceleration ke liye hi teeno equations of motion valid hain
- Graph-based questions boards mein almost guaranteed hain
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FAQ
Equations of motion kab use kar sakte hain?
Sirf uniform (constant) acceleration mein. Variable acceleration ke liye calculus (dv/dt, dx/dt) use karo.
Complete notes mein kya extra hai?
Saare derivations, graph analysis, relative motion ke solved patterns aur colour-coded formula sheet.
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