To determine the appropriate description for the graph, we should analyze the relationship indicated in the table, noting that acceleration (a) is dependent on the force (F) applied to the mobile. According to Newton's second law of motion, \( F = ma \) (force equals mass times acceleration), which implies that as the force increases, the acceleration will also increase, assuming mass remains constant.
Looking at the data provided in the table:
- For a force of 1.2 N, the acceleration is 4.8 m/s².
- For a force of 0.7 N, the acceleration is 2.8 m/s².
- For a force of 1.6 N, the acceleration is 6.4 m/s².
From this data, we can see that as the force increases, the acceleration also increases. Therefore, plot force (N) on the y-axis and acceleration (m/s²) on the x-axis, and the trend will show an upward-sloping line.
Thus, the best description for the relationship shown in the table is:
an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis.
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