A car traveling at a constant speed of 41 m/s passes a trooper hidden behind a billboard. Three seconds after the speeding car passes the billboard, the trooper sets out from the billboard to catch it, accelerating at a constant rate of 4 m/s2. How far from the billboard will the car be when the policeman catches up? (HINT: Solve for the time first. This requires using the quadratic equation.)
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 car traveling at a constant speed of 41 m/s passes a trooper hidden behind a billboard. Three seconds
after the speeding car passes the billboard, the trooper sets out from the billboard to catch it, accelerating
at a constant rate of 4 m/s2. How far from the billboard will the car be when the policeman catches up?
(HINT: Solve for the time first. This requires using the quadratic equation.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c4e41d9-a3ac-4d29-97cc-72954cf84754%2Fd4f37a9f-083a-4956-8e9d-35eb7fef9c9a%2Fhrbdquq.png&w=3840&q=75)
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