Question

multiple select question
select all that apply
considering that the graph of velocity versus time indicates a car moving in one dimension, identify the true statements.
the velocity is constant wherever the slope of the distance - versus - time is varying.
the velocity changes only where the slope of the distance - versus - time is constant.
the velocity changes only where the slope of the distance - versus - time is varying.
the velocity is constant wherever the slope of the distance - versus - time is constant.

Explanation:

1. On a velocity-time graph, a flat (horizontal) line means velocity is constant. On a distance-time graph, a flat line means velocity is zero, and a straight sloped line means constant velocity (the slope equals velocity). So velocity is constant when the distance-time graph has a constant slope (straight line, horizontal or sloped).
2. On a velocity-time graph, a sloped line means velocity is changing (acceleration). On a distance-time graph, a curved line means the slope (velocity) is changing. So velocity changes when the distance-time graph has a varying slope (curved line).

Answer:

• The velocity is constant wherever the slope of the distance-versus-time is constant.
• The velocity changes only where the slope of the distance-versus-time is varying.