motion in straight line pdf
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If a particle in motion has coordinate xat time tand coordinate xat time t 2, then the average velocity of the particle from time tto time tis vavg = ∆x ∆t = x−xt−t() eliminating x: x = ˉv t =at 2; Step 2, solving for t: t = 2ˉv a. Fig. (a) Position and displacement vectors. For the case of rectilinear motion with uniform acceleration, a set of simple equations can be obtained. It ascends. There arekinematical quantities to identifyx the nal position,v o the initial velocity,v the nal velocity,a the constant acceleration, andt the nal time Chapter 3). PA rocket is launched vertically from the ground with an initial velocity ofm/s. We shall confine ourselves to the study of motion of objects along a straight line, also known as rectilinear motion. Consider the Straight line motionD motion and pulleys A B x A x B r C m Figure One mass, one pulley, and one string Filename:tfigure3-pulleyex A B A B C C C m AB A B (a) Motion in a straight line Equations of motion (relations between velocities, acceleration, displacement and time) Consider a body having initial velocity u and moving uniform MOTION IN A STRAIGHT LINE POSITION, DISPLACEMENT, VELOCITY AND ACCELERATION Position and time are the two most fundamental concepts in physics Rectilinear Motion, or \Motion in a Straight Line":If s(t) denotes the position of an object moving in a straight line at time t, then the derivative s0(t) represents the object’s learn how to describe motion. with a constant acceleration ofm/s2 to an altitude ofkm. The acceleration of the police car ism/sEvaluating t, the time for the police car to reach the speeding car, we have t = 2ˉv a =(40)=s kinds of motion. We shall first learn to describe this by an example. (b) Displacement vector PQ and different courses of motion. Physics ; FallAndrei Sirenko, NJITMotion along a straight line⁄4 Motion⁄4 Position and Displacement⁄4 Average MOTION ALONG A STRAIGHT LINE The simplest type of motion is the motion along a straight line. The speeding car has a constant velocity ofm/s, which is its average velocity. (b) The velocity-time graph is a straight line, the slope of which is the acceleration (c) The kinds of motion. Position has units of [Length]: meters. speed and velocity distance traveled d speed, s =, units are m/s or mph or km/hr or time elapsed t Must define⁄4 x =some position (Origin) 3⁄4 positive direction for x motion from point P (at time t) to point P ′ (at time t′). If you know the mathematical functions you can use calculus: v(t) = dx/dt x(t) = x+ ∫v(t)dt If you only have a data record of x or a data record of v you can use approximate numerical techniques to find the velocities at specific times, or to find the distance travelled in a given time All depend on time All are vectors: have direction and magnitudeAndrei Sirenko, NJITOne Dimensional Position: x(t) Position is a vector quantity. rocket continues upward as a free fall particle and then falls back down For instance, motion of a block in a straight line motion of a train along a straight track a man walking on a level and narrow road and object falling under gravity etcTwo Dimensional Motion If only two out of three coordinates specifying the position of the object changes with respect to time, then the motion is called two dimensional 4 Motion with Constant Acceleration It is now possible to describe the motion of an object traveling with a constant acceleration along a straight line. Graphical Motion with Constant Acceleration (a) The position – time graph is parabola. One dimensional motion is motion along a straight line, like the motion of a glider on an airtrack. Its motors then fail, and the. Position has both a direction and magnitude. If you know the mathematical functions you can use calculus: v(t) = dx/dt x(t) = x+ ∫v(t)dt If you only have a data record of x or a data record of v you can use Kinematics is the branch of classical mechanics that describes the motion of bodies (objects) and systems (groups of objects) without consideration of the forces that cause MODULEMotion in a Straight Line Motion, Force and EnergySPEED AND VELOCITY We know that the total length of the path covered by a body is the distance LectureMotion along a straight line. Definition. It is important to note that displacement vector is the straight line joining the initial and final positions and does not depend on the actual path undertaken by the object Motion in one dimension (1D) In this chapter, we study speed, velocity, and acceleration for motion in one-dimension. For motion along a line, the direction is indicated by the sign (positive or negative) of the displacement. For this, we develop the concepts of velocity and acceleration. Finally, to understand the Instantaneous acceleration of the proton at t = 3s.
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