Q1. A truck driving on a paved road is capable of decelerating at a constant value of 5 m/s². (a) If the truck is initially travelling at 27.4 m/s, how long does it take to come to a complete stop? (b) How far does the truck travel in this time? (c) Sketch a graph of distance vs. time and speed vs. time, when the brakes are applied. Q2. The position of an object moving along the x-axis is given by x = -2³ +2²+ 3t-5, where x is in meters, and this in seconds. (a) Find the position of the object at t=2.0 s, and t = 3.5 s. (b) What is the displacement of the object between t = 2.0 s, and t = 3.5 s? (c) What is the average velocity of the object between 2.0 s, and 3.5s? ( (d) What is the average speed of the object between t = 2.0 s, and t = 3.5 s? Q3. The position of a particle is given by r 4i-2j+8r³k, with r in meters, and in seconds. (a) What is the instantaneous velocity of the particle at t = 2.0 s? (b) What is the magnitude of the instantaneous velocity at t = 2.0 s?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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