A particle moves in a straight line with a constant acceleration of −4 ft/s2 for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +4 ft/s2 for the next 4 s. The particle starts from the origin and its velocity is −8 ft/s during the zero acceleration time interval. Construct the v−t and x−t curves for 0 ≤ t ≤ 14 s.
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 in a straight line with a constant acceleration of −4 ft/s2 for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +4 ft/s2 for the next 4 s. The particle starts from the origin and its velocity is −8 ft/s during the zero acceleration time interval.
Construct the v−t and x−t curves for 0 ≤ t ≤ 14 s.
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