Question

1.
in the position graph, an object moves along the path from point a to point f. what is
the displacement of the object?
options: 8, 10, 15, 20

Explanation:

Step1: Identify positions of A and F

From the graph, point A is at position \( y = 2 \) m (x - axis: 2 m, y - axis: 2 m) and point F is at position \( y = 10 \) m (x - axis: 2 m, y - axis: 10 m).

Step2: Calculate displacement

Displacement is the change in position, so \( \Delta y = y_F - y_A \). Substituting values: \( 10 - 2 = 8 \)? Wait, no, wait the y - axis for F: looking at the graph, F is at (2,10)? Wait, no, the x - axis is (m), y - axis: A is at (2,2), F is at (2,10)? Wait, no, the graph: A is at x = 2, y = 2; F is at x = 2, y = 10? Wait, no, the vertical axis: A is at (2,2), E is at (2,6), then the line to D (6,10), C (10,10), B (10,3). Wait, F: x = 2, y = 10? Wait, the grid: each square, x from 0 - 12, y from 0 - 12. A is at (2,2), F is at (2,10)? Then displacement is 10 - 2 = 8? But the options have 8, 10,15,20. Wait, maybe I misread the y - axis. Wait, maybe the y - axis is position, so A is at position 2, F is at position 10? Then displacement is 10 - 2 = 8? But the options have 8 as an option. Wait, but maybe I messed up. Wait, no, maybe the x - axis is time? Wait, no, the question says "position graph", so x - axis is position (m), y - axis? No, position - time graph: x is time, y is position. Oh! I misread the axes. Let's re - read: the x - axis is (m)? No, no, position - time graph: x is time (s), y is position (m). So A: time = 2s, position = 2m; F: time = 2s, position = 10m? Wait, no, the labels: the x - axis is (m)? No, the graph has x - axis labeled (m) at the bottom, y - axis: t =? Wait, the top label is "t = s"? Wait, maybe the y - axis is time (s), x - axis is position (m). No, that doesn't make sense. Wait, the problem says "position graph", so probably x is position (m), y is... No, displacement is change in position, so if A is at position \( x_A \) and F at \( x_F \), but no, displacement is final position - initial position. Wait, looking at the points: A is at (2,2), F is at (2,10) (x = 2, y = 10). So displacement is 10 - 2 = 8. So the answer is 8.

Answer:

8 (the option with 8)