Which of the following sketched graphs BEST represents the following hypothesis?

As the mass of the cupcake holder increases, its velocity after falling 1 m will decrease because it has greater air resistance which reduces its acceleration, which reduces the velocity. what will the graph look like

1 answer

To visually represent the hypothesis that as the mass of the cupcake holder increases, its velocity after falling 1 meter decreases, you would likely draw a graph with the following axes:

  • X-axis (horizontal): Mass of the cupcake holder (in grams or kilograms)
  • Y-axis (vertical): Velocity after falling 1 meter (in meters per second)

Based on your hypothesis, you would expect to see a downward-sloping curve or line, meaning that as the mass increases (moving right along the X-axis), the velocity (upward movement on the Y-axis) decreases.

Here’s a basic description of how the graph would look:

  • As you plot points for various masses, you'll notice that higher mass values correspond to lower velocity values, creating a negative correlation.
  • The graph could take a linear or curved shape depending on how air resistance affects different masses; however, based on your hypothesis, a line sloping downward to the right would be appropriate.

In summary, the best sketch would show a downward-sloping line or curve that moves from the upper left towards the lower right of the graph.