Uniformly Accelerated Motion PDF

of uniformly accelerated motion' The motion of a freely falling body is an example the rider is not pedalling and wind (,r) The motion of a bicycle going down the siope of a road when accelerated motion' resistance is negligifl., i", ul* an example of uniformly of uniformly , ,:rr'r;i:,,r (ri,) The...

of uniformly accelerated motion' The motion of a freely falling body is an example the rider is not pedalling and wind (,r) The motion of a bicycle going down the siope of a road when accelerated motion' resistance is negligifl., i", ul* an example of uniformly of uniformly , ,:rr'r;i:,,r (ri,) The motion of a ball rolling down an inclined plane is an example motion. accelerated graph of a body having As we will see later on in this chapter, the velocity-time uniformly accelerated motion is a straight line' (l) i Effi fi"l fl. c {' *: i tl ri fi t I s'lr i: by unequal amounts in equal A body has a non-uniform acceleration if its velocity increases acceleration if its velocity changes at a intervals of time. rn other words, a body has a non-uniform on a crowded city road changes continuously' non-uniform rate. The speed (or velocity) of a.a. running another moment it decreases' So' the movement At one moment the velocity of car increases whereas at acceleration. The velocity-time graph of a car on a crowded city road is an example of non-uniform r' ri ; r'r' !. J t rI i t) r' forabodyhavingnon-uniformaccelerationisacurvedline. :-ii,rt;:irt.i*tt*ii ii.*r i*)':',':{}isr',}ti** *r N*ge?*v* A*celeration} changes. The velocity of a body may increase or Acceleration takes place when the velocity of a body If tlpes - positiv! accereration and negative acceleration. decrease, accordingry the accereration is of two is positive, and if the velocity of a body decreases' the velocity of a body increases, the acceleration the word acceleration in those cases where the the acceleration is negative. usuarly, most people us^e velocity of a body or slowing down is known velocity of a body is iricreasing whereas d"...ur. in the A body is said to be. retarded if its velocity is as retardation, deceleration or negative acceieration. slows down on approaching a Station because then decreasing. For example, a train is retarded when it same \,vay as acceleration, that is, retardation its velocity decreases. Retardation is measured in the is equal to ahut*"-'t "4ogty. --ii*e taken second" (m/s2 or and has the same units of "metres per second per negative sign' Here is one example' when a car m s-2). Retardation is actually acceleration with the biakes und b.ingr the car to rest in 5 seconds driver travelling at an initial velocity of 10 m/s applies (final velocitY becomes zero), then: Final velocitY - Initial velocitY Acceleratiorr, a = taken Time Here, And So, or InitialvelocitY = 1o m/s Finalvelocity =g*7t Timetaken =5s ua= (o - (The car stops) 1o) 5 -Z mls2 in sign, but the_n-egative acceleration is Thus, the acceleration of the car is, -2 mls2.It is negative irs2.It shourd be noted that the acceleration of, known as retardation, so the car has a retardation of +z the the same. Negative value of acceleration shows that -2 mls2 and retardation of, +2 mls2 are justbody is in is srowed down then the acceleration acting on it verocity of the body is decreasing. when a body' Thus, we can have acceleration in one direction a direction opposite to that of the motion of the and motion in another direction' 28 lVotion