In each of the three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force. The table is as follows: Force(N): 1.2 Acceleration (m/s^2): 4.8, Force(N):0.7 Acceleration (m/s^2): 2.8, Force(N): 1.6 Acceleration (m/s^2): 6.4

Question

Which phrase best descriibes a graph that would represent the relationship shown in the table?
an upward-sloping line drawn on a graphh with acceleration shown on the y-axis and force shown on the x-axis
a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
a downward-sloping line drawn on a graph with acceleration shown on the y-axis and the force shown on the x-axis
an upoward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis

Answer 1

The relationship shown in the table indicates that as the force applied to the mobile increases, the acceleration of the mobile also increases. Thus, the graph would feature acceleration (m/s²) plotted on the y-axis and force (N) plotted on the x-axis, resulting in an upward-sloping line.

Therefore, the best phrase to describe the graph is:

"an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis."