Su Bingtian, Asia's fastest man, is running along a straight line. Assume that he starts from rest from point A and accelerates uniformly for T s, before reaching a speed of 3 m/s. He is able to maintain this speed for 5 s. After that, it takes him 6 s to decelerate uniformly to come to a stop at point B. i. Sketch a speed versus time graph based on the information given above. ii. Find the value of T if the distance between A and B is 100 m. iii. Determine the deceleration.
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.
![Su Bingtian, Asia's fastest man, is running along a straight line. Assume that
he starts from rest from point A and accelerates uniformly for T
S,
before
reaching a speed of 3 m/s. He is able to maintain this speed for 5 s. After
that, it takes him 6 s to decelerate uniformly to come to a stop at point B.
i.
Sketch a speed versus time graph based on the information given
above.
ii.
Find the value of T if the distance between A and B is 100 m.
iii.
Determine the deceleration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffea223e4-8b6d-4bec-b3e3-71137c8993ae%2F5f61237d-5efc-41fd-bf65-652ba90a4b86%2Fmng5k07_processed.jpeg&w=3840&q=75)
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