A particle moves in a straight line in such a way that its displacement s, in inches, from a given reference point at successive 1 sec intervals from 0 to 6, both inclusive, is 4.1, 4.5, 4.2, 3.0, 1.45, 0.40, 0 respectively. Plot the displacement-time curve. From this curve find the velocity for each value of t. From the velocity-time curve find the acceleration for each value of t.
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.
To be able to solve rectilinear problems with variable functions.
A particle moves in a straight line in such a way that its displacement s, in inches, from a given reference point at successive 1 sec intervals from 0 to 6, both inclusive, is 4.1, 4.5, 4.2, 3.0, 1.45, 0.40, 0 respectively. Plot the displacement-time curve. From this curve find the velocity for each value of t. From the velocity-time curve find the acceleration for each value of t.
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