A truck is moving forward at a constant speed of 21 m/s. The driver sees a stationary car directly ahead of a distance of 110 m. After a “reaction time” of Δt, he applies the brakes, which gives the truck a backward acceleration of 3 m/s2. What is the maximum allowable Δt to avoid a collision, and what distance will the truck have moved before he applies the brakes? Assuming a reaction time of 1.4 s, how far behind the car will the truck stop, and in how many seconds from the time the driver first saw the car?
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 truck is moving forward at a constant speed of 21 m/s. The driver sees a stationary car directly ahead of a distance of 110 m. After a “reaction time” of Δt, he applies the brakes, which gives the truck a backward acceleration of 3 m/s2. What is the maximum allowable Δt to avoid a collision, and what distance will the truck have moved before he applies the brakes? Assuming a reaction time of 1.4 s, how far behind the car will the truck stop, and in how many seconds from the time the driver first saw the car?
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