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.
This is a symbolic version of Problem 41. A river has a steady speed of vs . A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time t up does it take the student to swim upstream a distance d ? Express the answer in terms of d, v, and vs . (b) Using the same variables, how much time t down does it take to swim back downstream to the starting point? (c) Sum the answers found in parts (a) and (b) and show that the time t a required for the whole trip can be written as
(d) How much time tb does the trip take in still water? (e) Which is larger, ta or tb? Is it always larger?
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