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PHYSICS- Kinematics

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Master Class 12 Kinematics with these premium, topper-level physics notes designed to ace exams. This comprehensive digital PDF delivers absolute clarity on 1D and 2D motion, vector algebra, projectile trajectories, uniform circular motion, and complex relative velocity problems like river-boat and rain-man scenarios. Strategically structured for rapid revision, the notes feature step-by-step calculus derivations, crystal-clear graphical analyses, high-yield formula cheat sheets, and solved competitive exam examples. Clean, multi-colour coding highlights crucial shortcuts and common pitfalls, making this fluff-free guide the ultimate time-saving study tool for any student aiming for top scores.

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REFERENCE FRAME
Kinenatics
Reference frame is a set of
coordinate axis with respect to
which we measure the position of any particle.
MOTION

A particle is said to have moved in a certain reference frame
if its pesitiom vector chamges.
DISPLACEMENT (3)
The change in position vector is called the displacement.
Mathem atically,
B=bf-r (rs= final position)
5= Δ (li= initial position)
(A = Change)
) A final coordinate =
of(=22-15+k). (3, 4,5) amd it has undergone
Find its initial coordinates. a displacement

s = (3+4+5) - (22-15+)
७ = i + 19 +42
The minute hand
of a lock tower is /2m. long an
d time
18 120 clock. Take y-axis along 120clock position and fin
5 of its tip in d
(i) lo min.
(ii) 20 min.
(iii) 40min. (0,12)

()
(3,0)
Smin
u = Sim 60£ +1
2
Cos 603 t.



2

5= 3





17 17

,

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