main step only (brieflv) Short 4 A lift travels up and down between the ground floor (G) and the roof garden (R) of a hotel. It starts from rest, takes 5s to increase its speed uniformly to 2ms, maintains this speed for 5s and then slows down uniformly to rest in another 5s. In the following questions use upwards as positive. I (i) Sketch a velocity-time graph for the journey from G to R. On one occasion the lift stops for 5 s at R before returning to G. [ii] Sketch a velocity-time graph for this journey from G to R and back. (iii) Calculate the acceleration for each 5 s interval. Take care with the signs. [iv] Sketch an acceleration-time graph for this journey. Answer: 4 (ii) velocity velocity A (ms) 0 5 10 15 time (s) P 5 10 15 20 25 30 5 time (s) lii] +0.4ms 2,0ms 2, -0.4ms ²,0ms ², -0.4ms 2,0ms ², +0.4ms2 explanation needed livl acceleration (ms) 04 -0.4 1 30 35 time (s)
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.
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