A speeding motorcyclist is traveling at a constant speed of 36.0 m/s when he passes a police car parked on the side of the road. The radar, positioned in the police car’s rear window, measures the speed of the motorcycle. At the instant the motorcycle passes the police car, the police officer starts to chase the motorcyclist with a constant acceleration of 4.0 LaTeX: m/s^2.m / s 2 . a) How long will it take the police officer to catch the motorcyclist? b) What is the speed of the police car when it catches up to the motorcycle? c) How far will the police car be from its original position?
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.
2. A speeding motorcyclist is traveling at a constant speed of 36.0 m/s when he passes a police car parked on the side of the road. The radar, positioned in the police car’s rear window, measures the speed of the motorcycle. At the instant the motorcycle passes the police car, the police officer starts to chase the motorcyclist with a constant acceleration of 4.0 LaTeX: m/s^2.m / s 2 .
a) How long will it take the police officer to catch the motorcyclist?
b) What is the speed of the police car when it catches up to the motorcycle?
c) How far will the police car be from its original position?
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