Five motorboats are being tested to see which reaches the highest velocity in the same amount of time. After graphing the acceleration versus force for each motorboat, the graph is a sloped line with a y-intercept of zero. Which statement is correct about these motorboats?
All five motorboats have the same mass, which cannot be calculated from the graph.
All five motorboats have the same mass, which can be calculated from the graph.
All five motorboats have the same final velocity, which can be calculated from the graph.
All five motorboats have the same final velocity, which cannot be calculated from the graph.
answer
The correct statement about these motorboats is: All five motorboats have the same mass, which cannot be calculated from the graph.
The graph shows the relationship between acceleration and force for each motorboat. Since the y-intercept is zero, it indicates that when there is no force acting on the motorboat, the acceleration is also zero. This suggests that the motorboats have the same mass, as the mass affects the acceleration for a given force according to Newton's second law (F = ma).
However, the graph does not provide enough information to calculate the exact mass of the motorboats. The slope of the line in the graph indicates the ratio of force to acceleration, but it does not provide the absolute values of force or acceleration. Therefore, the mass cannot be determined solely from the graph.