4. The Pacer Test. As a warm-up, Gene is trying to do everyone's favorite Pacer test, which involves running back and forth between two markers 20 m apart in a sufficient amount of time. When Gene runs, he starts from rest, accelerates at a constant rate, decelerates at a constant rate, and finishes at rest in order to make the next lap as soon as possible. The Pacer test starts slow, but picks up speed for each lap. Gene is on one of the last laps and is starting to lose breath already. If Gene can accelerate at 0.3m/s? and decelerate at 1.2 m/s, how long is the fastest 20m lap he could possibly run?
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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