Question

1. a) what is the magnitude of the objects total displacement? b) what is the total displacement? show your work. (____/4 pts)

Explanation:

Step1: Determine the positions

Let's assume the position of \(A\) is \(x_A = 6\), the position of \(B\) is \(x_B=2\), and the position of \(C\) is \(x_C=- 6\)

Step2: Calculate the displacement

The displacement \(\Delta x=x_{final}-x_{initial}\). Here, the object moves from \(A\) to \(B\) to \(C\). The initial position \(x_{i}=x_A = 6\) and the final position \(x_{f}=x_C=-6\)

The displacement \(\Delta x=x_{C}-x_{A}\)

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Step3: Find the magnitude of displacement

The magnitude of displacement \(|\Delta x|=|x_{C}-x_{A}|=|-12| = 12\)

Answer:

a) The magnitude of the object’s total displacement is \(12\).
b) The total displacement is \(-12\) (assuming the positive - direction is to the right on the number line)