A train accelerates uniformly from rest at station A to a maximum speed of 72 km/h. The constant maximum speed is maintained for a period of time and the train then decelerates uniformly until it comes to a stop at station B. The distance between the two railway stations is 22 km and the journey takes 20 minutes. If the magnitude of the acceleration is half that of deceleration, by using the graphical method, determine the acceleration, in meters per second per second, and the time, in minutes, during which the train travels at its maximum speed.
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 train accelerates uniformly from
rest at station A to a maximum speed
of 72 km/h. The constant maximum
speed is maintained for a period of
time and the train then decelerates
uniformly until it comes to a stop at
station B. The distance between the
two railway stations is 22 km and the
journey takes 20 minutes. If the
magnitude of the acceleration is half
that of deceleration, by using the
graphical method, determine the
acceleration, in meters per second
per second, and the time, in minutes,
during which the train travels at its
maximum speed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08bd0332-0d90-4990-8eab-6025f5fbee72%2F70b18dab-1caa-4ae1-aeac-37e6d9dc6016%2Fw5pgjuq_processed.jpeg&w=3840&q=75)
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