Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 128 km/h as it passes P, but over the next 4.2 seconds, the car uniformly accelerates to 144 km/h, after which that speed is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 6.0 m/s² until a speed of 165 km/h is achieved, and that speed is then maintained. Determine the distances required for the police officer to overtake car A.
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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