Question

multiple select question
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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 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 constant.
□ the velocity changes only where the slope of the distance - versus - time is varying.

Explanation:

1. Velocity is the slope of a distance-versus-time graph. When velocity is constant (flat segments on the velocity-time graph), the slope of the distance-time graph is constant.
2. When velocity is changing (sloped segments on the velocity-time graph), the slope of the distance-time graph is varying.

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.