1.

Define and explain displacement

Answer»

Solution :The change in position of particle in particular interval of time is called displacement.
Let `x_(1) and x_(2)`be the positions of an object at time `t_(1) and t_(2)`
Its displacement, denoted by `Deltax` in time `Delta t (t_(2) -t_(1))`is GIVEN by the difference between the FINAL and initial positions. `Delta X =x_(2) -x_(1)`
We use the Greek letter delta (A) to denote change in a quantity
If `x _(2) gt x _(1)Delta x`is positive, and if `x_(2) lt x _(1) Delta x` is negative.
Displacement has both magnitude and direction
In one-dimensional motion there are only two DIRECTIONS (backward and forward, upward and downward) in which an object can move.
These two directions can easily be SPECIFIED by + and-signs.
For example, displacement of the car in moving from O to P is,
`Delta x x_(2) - x_(1)` (+ 360 m) - Om = + 360 m
The displacement has a magnitude of 360 m and is directed in the positive x-direction as indicated by the + sign.
Similarly, the displacement of the car from P to is 240 m - 360 m - 120 m. The negative sign indicates the direction of displacement..


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