Match each graph of an object's movement with the correct description. (1 point)

Distance
Time
Distance
Time
Distance
Time
Distance
Time
# zero velocity
#decreasing velocity at a nonlinear rate
#increasing velocity at a nonlinear rate
#constant velocity at a linear rate

1 answer

To match the graphs of an object's movement with the correct descriptions based on the characteristics of distance vs. time graphs, here are the explanations for each type of motion:

  1. Zero Velocity: The graph will be a horizontal line, indicating that the distance does not change over time. The object is at rest.

  2. Decreasing Velocity at a Nonlinear Rate: The graph will show a curve that is getting less steep over time, indicating that the distance is increasing but at a decreasing rate.

  3. Increasing Velocity at a Nonlinear Rate: The graph will show a curve that is becoming steeper over time, indicating that the distance is increasing at an increasing rate.

  4. Constant Velocity at a Linear Rate: The graph will be a straight line with a positive slope, indicating that distance is increasing at a consistent rate over time.

If you have specific graphs to refer to, you could match them based on these descriptions. Otherwise, the descriptions can be matched as follows:

  • Zero Velocity: Horizontal line
  • Decreasing Velocity at a Nonlinear Rate: Curve that flattens over time
  • Increasing Velocity at a Nonlinear Rate: Curve that steepens over time
  • Constant Velocity at a Linear Rate: Straight diagonal line

Please provide the actual graphs or images if you need more tailored assistance!