4. A train initially at rest, accelerates uniformly until its speed reaches 8 m s-1 in 25 s. For the next 200 s, the train continues its journey with constant speed, before it slows down uniformly and comes to a complete stop in 20 s. (i) Sketch a labelled graph of speed versus time for the whole journey. (ii) Calculate the accelerations of the train for the three parts of the journey. [Answer: a, = 0.32 m s, a, =0 m s², a, =-0.4 m s] (iii) Determine the total distance travelled by the train. [Answer: Distance = 1780 m]
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.
![4. A train initially at rest, accelerates uniformly until its speed reaches 8 m s-1 in 25 s. For
the next 200 s, the train continues its journey with constant speed, before it slows down
uniformly and comes to a complete stop in 20 s.
(i) Sketch a labelled graph of speed versus time for the whole journey.
(ii) Calculate the accelerations of the train for the three parts of the journey. [Answer:
a, = 0.32 m s, a, = 0 m s², a, = -0.4 m s²²]
(iii) Determine the total distance travelled by the train. [Answer: Distance = 1780 m]
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