Question

An untitled graph with elapsed time on the x axis in seconds, numbered 0 to 7, Speed on the y axis in centimeters per second, numbered 0 to 180. Line A has points (0, 0), (1, 1), (2, 3), (3, 7), (4, 12), (5, 18). Line B has points (0, 8), (1, 8), (2, 8), (3, 8), (4, 8), (5, 8). Line C has points (0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5). Use the drop-down menus to answer each question. Which line represents the movement of a cart with a constant acceleration? Which line represents the movement of a cart with a constant velocity? Which lines represents a cart with no velocity or acceleration?

Answer 1

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.