How To Calculate Displacement: The Math Behind Vector Quantities

Displacement from t1 to t2

Change in positions(t2) – s(t1)

Displacement is a vector quantity that represents the change in position of an object. It is defined as the straight-line distance between the initial and final positions of an object, as well as the direction of that distance.

To calculate displacement from t1 to t2, we need to know the initial position of the object at t1 and the final position of the object at t2. We can then subtract the initial position vector from the final position vector to obtain the displacement vector.

For example, suppose an object starts at position (2, 4) at time t1 and then moves to position (6, 8) at time t2. To calculate the displacement from t1 to t2, we can use the following formula:

displacement = final position vector – initial position vector
= (6, 8) – (2, 4)
= (4, 4)

Therefore, the displacement from t1 to t2 is 4 units to the right and 4 units upward.

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