The position of a particle moving along the x axis is given by x=3t2-15t-10m, where t is in s, Determine the following a. average velocity during the time interval t=2.5 s to t=4.5s b. instantaneous velocity at 3s c. average acceleration during the time interval t=2.5 s to t=4.5s
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.
The position of a particle moving along the x axis is given by x=3t2-15t-10m, where t is in s, Determine the following
a. average velocity during the time interval t=2.5 s to t=4.5s
b. instantaneous velocity at 3s
c. average acceleration during the time interval t=2.5 s to t=4.5s
d. instantaneous acceleration at 3s
e. is the particle speeding up or slowing down at 4s? justify your answer
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