A vehicle traveling between 2 stations that are 2 km apart starts from rest and accelerates over 3/5 of the total distance. After reaching the maximum speed, the driver steps on the brakes and the vehicle decelerates at a constant rate and comes to rest after 2 km and a total travel duration of 4 min. Analyze the motion of the vehicle on a appropriate speed - time graph and then, calculate: --- • The maximum speed observed during the journey: m/s • The duration of acceleration tacc :

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Q: question number 41

A: The given equation of motion corresponds to Newton’s equation of motion.

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A: Given data: x(t)=bt2-ct3 b =2.40m/s2 c=0.120m/s2

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.