2.67. Large cockroaches can run as fast as 1.50 m/s in short bursts. Suppose you turn on the light in a cheap motel and see one scurry- ing directly away from you at a constant 1.50 m/s. If you start 0.90 m behind the cockroach with an initial speed of 0.80 m/s toward it, what minimum constant acceleration would you need to catch up with it when it has traveled 1.20 m, just short of safety under a counter?
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.
![2.67. Large cockroaches can run as fast as 1.50 m/s in short bursts.
Suppose you turn on the light in a cheap motel and see one scurry-
ing directly away from you at a constant 1.50 m/s. If you start
0.90 m behind the cockroach with an initial speed of 0.80 m/s
toward it, what minimum constant acceleration would you need to
catch up with it when it has traveled 1.20 m, just short of safety
under a counter?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8498a0f-0d6e-4134-a810-ec134a73b89a%2F9e9e15ae-d141-4df9-b6da-4b62c193fc4c%2F5r9fpy_processed.png&w=3840&q=75)
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