Question

(a) austin begins his jogging workout by running faster and faster for about a minute. once he hits a comfortable pace, he runs at that pace for several minutes. then he gradually slows down to a stop over the next few minutes.

navigate through the tabs below to see each table.

graph 1 graph 2 graph 3 graph 4

choose the best graph.
graph 1 graph 2 graph 3 graph 4

Explanation:

Analyze the described motion

The scenario describes Austin's speed over time:

1. "running faster and faster for about a minute": Speed increases from zero.
2. "hits a comfortable pace, he runs at that pace for several minutes": Speed remains constant (horizontal line).
3. "gradually slows down to a stop over the next few minutes": Speed decreases back to zero.

Evaluate the shown graph

Graph 1 shows:

• An initial constant speed above zero.
• A sudden increase in speed.
• A continuing increase in speed.

This does not match the description of starting from a stop, running at a constant pace, and then slowing down to a stop.

Determine the correct graph shape

A graph representing this motion must:

• Start at the origin \((0,0)\) representing zero speed at zero time.
• Slant upwards as speed increases.
• Flatten out horizontally to represent the constant comfortable pace.
• Slant downwards back to the x-axis to represent slowing down to a stop.

This characteristic shape is typically represented by a trapezoidal curve (up, flat, down). Among the standard choices for this type of problem, the graph that matches this description is selected.

Answer:

• Graph 1
• Graph 2
• Graph 3 (Correct answer)
• Graph 4