A speeder doing 40.0 mi>h (about 17.9 m>s) in a 25 mi>h zone approaches a parked police car. The instant the speederpasses the police car, the police begin their pursuit. If the speeder maintains a constant velocity, and the police caraccelerates with a constant acceleration of 4.51 m>s2, (a) how much time does it take for the police car to catch thespeeder, (b) how far have the two cars traveled in this time, and (c) what is the velocity of the police car when it catchesthe speeder?
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.
A speeder doing 40.0 mi>h (about 17.9 m>s) in a 25 mi>h zone approaches a parked police car. The instant the speeder
passes the police car, the police begin their pursuit. If the speeder maintains a constant velocity, and the police car
accelerates with a constant acceleration of 4.51 m>s2
, (a) how much time does it take for the police car to catch the
speeder, (b) how far have the two cars traveled in this time, and (c) what is the velocity of the police car when it catches
the speeder?
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