Step 1: Understand a Distance-Time graph.
A distance-time graph plots the distance traveled by an object against time. The slope (gradient) of a distance-time graph represents the speed or velocity of the object.
Step 2: Relate slope to velocity.
A steeper slope indicates a greater change in distance over a given time interval, which means a higher speed or velocity. A less steep slope indicates a lower speed or velocity.
Step 3: Analyze the slopes of line A and line B from the provided graph.
Visually inspecting the graph, line A is steeper than line B. This means that for the same amount of time, line A covers more distance than line B.
Step 4: Compare the velocities of line A and line B.
Since line A has a steeper slope than line B, line A represents a higher velocity compared to line B.
Step 5: Conclude the result.
Line A shows high velocity.
Step 6: Compare with the given options.
The result matches option (1).
(1) A line