A car traveling at a constant speed of 26.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.70 m/s2. How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. On the same graph, plot position versus time for the car and the trooper. x(m) x (m) 800 500 600 400 car 300 car 400 200 200 trooper 100 trooper t (s) 20 t(s) 20 10 15 10 15 x (m) x (m) 400t 800 300 600 trooper trooper 200 400 car 100 200 car t (s) 20 t(s) 20 10 15 10 15 From the intersection of the two curves, read the time at which the trooper overtakes the car.

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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.