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RECTILINEAR MOTION CASES, , Velocity Acceleration, BODY MOVING WITH INCREASING VELOCITY, , , , , , , , , , , Distance, , , , , , , , , , , , , , , , x i Va i a, ' ', ' 1, ' !, 1 1!, 1 1, ' ', ' ', ! !, >t} eerie t, 1 ', BODY MOVING WITH DECREASING VELOCITY, i Het, ! !, ! !, ' i, i >t i >t, ' ', ' !, ' ! Vn, ' ', i) ', 1! ', BODY MOVING WITH UNIFORM VELOCITY, x? i vs i ar, ' ', 1 !, ' ', ' | a ceeenneeenien 1, ' ', ! ', ' ', ! !, t ; So t ; ==>, ' ', Slope seateeatia, aoe oF, Area under Area under, , curve curve

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Increasing, slope, , x (m), , v (m/s), , , , , , , slope, , a (m/s?), , , , , , , , , , , , Positive, , , , , , , , , , Constant, slope, , Constant, velocity, , Increasing, velocity, , Decreasing, slope velocity, , , , Decreasing, , _ Displacement, , Flattening_., , curve, , , , 20 30 40, Time in seconds, , , , , , Negative, slope => Deceleration, , , , Velocity, , Object is, at rest, , , , , , , , , , , Positive, , , , , , Horizontal, , Zero, ine =, , leration, (zero slope), , , , Acceleration, OTT E, , FIL, , 20, , , , , , , , , Velocity, coming, less (-ve), , , , Continuing, (zero slope)

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RELATIVE WELOCITY, , , , =>, Vv. absolute velocity of river Time taken by boatman to, sik cross the river:, , Vr = velocity of boatman with, respect to river or velocity, of boatman in still water, , Displacement along x-axis, , ~, Vb absolute velocity of when he reaches on the other, , , , boatman. bank:, w, = = J foe Tits, en | a aS Wer = Voy S00) cond, , 2. Condition when the boatman wants, to reach point B, i.e., at a point just, opposite from where he started, , 1. Condition when the boatman, crosses the river in shortest, interval of time, 3. Shortest Path, , when V; < Vir—* Smin = w, , , , 1, , 1, , 1, , 1, , 1, , | when V, > Vor —>, 1, , 1, , ! Sein = w(, , ' Si, , } Vaw = Velocity of aircraft wrt wind, , , , AIRCRAFT WIND PROBLEM, , — . 4, Vw = Velocity of wind, , ~, Va = Absolute Velocity of aircraft, , , , , , RAIN PROBLEM, , os Ving, , , , , , Vig = Velocity of river wrt ground _ 50%,, , + {~ i. —- \, , Vim = Velocity of river wt man | Vig = Vim + Vg}, Resqeenenapeisenesenteapabatetmenil®, , == *, , Vg Velocity of man wrt ground