Your donations will help us to run our website and serve you BETTER. The uniformly accelerated rectilinear motion (u.a.r.m.), also known as constant acceleration motion, is a rectilinear motion that has a constant acceleration, which is different from zero. Hey man, If you have come this far, do give us feedback in the comment section. You can also find us on Mix, Twitter, Pinterest, and Facebook. If you like this article, share it if you like, like it if you share it. Rectilinear motion problems involve position, velocity, or acceleration. In rectilinear motion all particles of the body travel the same distance. Rectilinear Motion: Rectilinear motion is the term describing the motion of an object over time along a straight line. Some Other Rectilinear Motion Examples in Daily LifeĪpart from the above-mentioned ones, I am also mentioning a few here. Linear motion can be further divided to rectilinear motion and curvilinear motion. When you pull a drawer towards you or push it back into its housing, the motion is primarily along a single line, without deviating from a straight trajectory. human body) move in a straight line, at the same speed, and in the same direction. Sliding a drawer involves rectilinear motion as it follows a straight-line path within its track when being opened or closed. Overview rectilinear motion Quick Reference Motion along a straight line in which all parts of the system (e.g. If the acceleration is known as a function of time, we can use Calculus to find the position, displacement, and velocity, in the same manner as before.Īlternatively, if we are given the position x(t) as a function of time, we determine the velocity by differentiating x(t) once, and we determine the acceleration by differentiating x(t) twice.Last but not least on my list of rectilinear motion examples in daily life is sliding a drawer. This gives usĮquations (1), (2), (3), and (4) fully describe the motion of particles, or bodies experiencing rectilinear (straight-line) motion, where acceleration a is constant.įor the cases where acceleration is not constant, new expressions have to be derived for the position, displacement, and velocity of a particle. If we wish to find an equation that doesn’t involve time t we can combine equations (2) and (3) to eliminate time as a variable. As a resultĭisplacement is defined as Δ d = x 2− x 1. Substituting these two initial conditions into the above two equations we getįor convenience, set x(t) = x 2 and v(t) = v 2. The constants C 1 and C 2 are determined by the initial conditions at time t = 0. Where x(t) is the position and C 2 is a constant. Integrate the above equation with respect to time, to obtain position. Where v(t) is the velocity and C 1 is a constant. Integrate the above equation with respect to time, to obtain velocity. Where a is the acceleration, which we define as constant. The easiest way to derive these equations is by using Calculus. Hence, the motion is also called motion in one dimension. All the motion-related parameters are along one direction. It is a motion that occurs in a single direction or axis. With acceleration as constant we can derive equations for the position, displacement, and velocity of a particle, or body experiencing rectilinear motion. Rectilinear Motion (or Linear Motion) is a specific form of motion. These are important quantities to consider when evaluating the kinematics of a problem.Ī common assumption, which applies to numerous problems involving rectilinear motion, is that acceleration is constant. We set the motion along the x-axis and its displacement from the origin is denoted either by x or s. Given the position of the particles, x(t), we can calculate the displacement, velocity, and acceleration. : a linear motion in which the direction of the velocity remains constant and the path is a straight line Love words You must there are over 200,000 words in our free online dictionary, but you are looking for one that’s only in the Merriam-Webster Unabridged Dictionary. Rectilinear motion is another name for straight-line motion. In the above figures, x(t) represents the position of the particles along the direction of motion, as a function of time t. The figures below illustrate rectilinear motion for a particle and body. This type of motion describes the movement of a particle or a body.Ī body is said to experience rectilinear motion if any two particles of the body travel the same distance along two parallel straight lines. Rectilinear motion is another name for straight-line motion.
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