Ask a New Question
Menu

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?(1 point)

Responses

All five motorboats have the same final velocity, which cannot be calculated from the graph.
All five motorboats have the same final velocity, 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 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 can be calculated from the graph.

All five motorboats have the same mass, which cannot be calculated from the graph.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

Based on the information provided, if the acceleration vs. force graph is a straight line with a y-intercept of zero, then it can be inferred that all five motorboats are characterized by the same mass. This is because, according to Newton's second law (F = ma), the slope of the acceleration (a) vs. force (F) graph represents the reciprocal of the mass (1/m).

Since the y-intercept is zero and the graph is a straight line, this indicates a consistent relationship between force and acceleration across all five motorboats. This does not, however, indicate that they have the same final velocity, as that depends on the initial conditions and the time involved, which are not described in the question.

Therefore, the correct statement aligned with this reasoning is:

**All five motorboats have the same mass, which can be calculated from the graph.**