Understanding Displacement in Mathematics and Physics: Calculation, Formulas, and Examples

Displacement from t1 to t2

Displacement, in the context of mathematics and physics, refers to the change in position of an object or a point from one location to another

Displacement, in the context of mathematics and physics, refers to the change in position of an object or a point from one location to another.

To calculate the displacement from time t1 to t2, you need to know the initial position at t1 and the final position at t2. The displacement is then given by the formula:

Displacement = Final Position – Initial Position

If the positions are given in one dimension, such as on a number line, the displacement will be a scalar value. However, if the positions are given in two or three dimensions, such as in Cartesian coordinates, the displacement will be a vector quantity with magnitude and direction.

Here is an example to illustrate how to calculate displacement:

Let’s say a car starts at an initial position of 10 meters and moves to a final position of 25 meters. We want to find the displacement from the initial time t1 to the final time t2.

Given:
Initial position, x1 = 10 meters
Final position, x2 = 25 meters

Using the displacement formula:
Displacement = x2 – x1

Plugging in the values:
Displacement = 25 meters – 10 meters
Displacement = 15 meters

Therefore, the displacement from t1 to t2 is 15 meters.

Note that displacement can also be negative if the final position is less than the initial position. This indicates movement in the opposite direction of the positive coordinate axis.

More Answers:

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Understanding Cartesian Coordinate Plane: Changing Direction in Mathematics

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