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What is the displacement from position 1 (+45 cm) to position 2 (+33 cm)?

What is the displacement from position 1 (+45 cm) to position 2 (+33 cm)?
Answer

Displacement is final position minus initial position: $\Delta x = x_2 - x_1 = (+33\,\text{cm}) - (+45\,\text{cm}) = -12\,\text{cm}$. The negative sign means the motion is 12 cm in the negative direction.

Explanation

What the question is asking

You are given an initial position and a final position on a 1D line. Displacement tells how much the position changes, including direction.

Use the displacement definition

Displacement is $$ \Delta x = x_f - x_i $$ Here, $x_i = +45\,\text{cm}$ and $x_f = +33\,\text{cm}$.

Substitute and compute

$$ \Delta x = (+33) - (+45) = -12\,\text{cm} $$

Interpret the sign

A displacement of $-12\,\text{cm}$ means the object ends 12 cm to the left (in the negative direction) of where it started.

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Skills You Achive
kinematics signed quantities vector direction basic subtraction

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