Answer:
Let's analyze the characteristics of each line to answer your questions:
Constant Acceleration: A cart with constant acceleration would have a graph that shows a steady increase in speed over time. This means that the speed is not constant but is changing at a consistent rate.
Line A represents the movement of a cart with constant acceleration because the speed is increasing over time.
Constant Velocity: A cart with constant velocity would have a graph that shows a constant speed over time. This means that the speed remains the same, and there is no acceleration.
Line B represents the movement of a cart with constant velocity because the speed is a constant 8 centimeters per second at all times.
No Velocity or Acceleration: A cart with no velocity or acceleration would have a graph that shows a flat line at a constant value, indicating that there is no change in speed or position over time.
Line C represents the movement of a cart with no velocity or acceleration because the speed remains at a constant value of 1 centimeter per second, and there is no change in speed or position over time.
In summary:
Line A represents constant acceleration.
Line B represents constant velocity.
Line C represents a cart with no velocity or acceleration.