A particle moves along the x-axis. Its position varies with time according to the expression x = -4t + 2t2 where x is in meters and t is in seconds. Determine its displacement in the time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s. Calculate the average velocity from t = 1 s and t = 3 s. Calculate the instantaneous velocity at 2.5 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 along the x-axis. Its position varies with time according to the expression x = -4t + 2t2 where x is in meters and t is in seconds.
- Determine its displacement in the time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s.
- Calculate the average velocity from t = 1 s and t = 3 s.
- Calculate the instantaneous velocity at 2.5 s.
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