A police officer at a speed trap clocks a speeding vehicle blazing by at 67 mph. The officer takes 2 seconds to put away her donuts before chasing after the vehicle. The police car can go from Oto 60 mph in 9 seconds. (a.) If the speeding vehicle remains at the same speed, how much time does it take for the officer to catch up to it? Assume she is going as fast as possible with constant acceleration. (b.) How far is the officer from where she started when she catches up to the speeding vehicle?
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.
4. A police officer at a speed trap clocks a speeding vehicle blazing by at 67 mph. The
officer takes 2 seconds to put away her donuts before chasing after the vehicle. The police car
can go from Oto 60 mph in 9 seconds.
(a.) If the speeding vehicle remains at the same speed, how much time does it take for the
officer to catch up to it? Assume she is going as fast as possible with constant acceleration.
(b.) How far is the officer from where she started when she catches up to the speeding
vehicle?
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