The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 8 6 2 t (s) 1 2 3 4 5 6 7 8 -2 (a) 0 to 2 s m/s (b) 0 to 4 s m/s (c) 2 to 6 s m/s (d) 2 to 7 s m/s (e) 0 to 7 s m/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.
Solution:
Formula: Average Velocity = Displacement/Change in time
a) 0 to 2 s
change in time = 2 - 0 = 2 s
displacement = 10 - 0 = 10 m
Average velocity = 10/2 = 5 m/s Answer
b) 0 to 4 s
change in time = 4 - 0 = 4 s
displacement = 5 - 0 = 5 m
Average velocity = 5/4 = 1.25 m/s Answer
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