A particle moves along the positive axis with an acceleration of ax in m/s2, which increases linearly with x expressed in mm as shown on the graph for an interval of its motion. If the velocity of the particle at x =40mm is 0.4 m/s a. What is the value of ax at x = 120mm ? b. What is the velocity at x = 120mm ? c. Determine the time of motion of the particle from x = 40mm to x = 120mm
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 particle moves along the positive axis with an acceleration of ax in m/s2, which increases linearly with x expressed in mm as shown on the graph for an interval of its motion. If the velocity of the particle at x =40mm is 0.4 m/s
a. What is the value of ax at x = 120mm ?
b. What is the velocity at x = 120mm ?
c. Determine the time of motion of the particle from x = 40mm to x = 120mm
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