Question

speed problems
which graph shows a person walking away at a constant rate?
distance
time
distance
time
distance
time
distance
time

Explanation:

Step1: Recall speed - distance - time relationship

Speed \(v=\frac{d}{t}\), when speed is constant, \(d = vt\). This is a linear relationship.

Step2: Analyze each graph

• The first graph is a curve, indicating non - constant speed.
• The second graph shows distance not changing with time (horizontal line), meaning the person is stationary.
• The third graph is a straight line with a positive slope. As time \(t\) increases, distance \(d\) increases linearly, which represents a constant positive speed (walking away).
• The fourth graph shows distance decreasing with time, meaning the person is walking towards the starting point.

Answer:

The third graph (the one with a straight positive - sloped line) shows a person walking away at a constant rate.