Question

the graph below represents the distance of a dog from a trainer after a command is given. which statement could describe the dogs movement at 5 seconds once the command was given? the dog stopped to lie down and obey the trainers command. the dog was running towards the trainer. the dog was running away from the trainer. the dog was stopped but began running towards the trainer.

Explanation:

Step1: Analyze the graph at 5 seconds

At \(t = 5\) seconds, the distance - time graph becomes a horizontal line. In a distance - time graph, the slope \(m=\frac{\Delta d}{\Delta t}\). When the graph is horizontal, \(\Delta d = 0\) (since the distance \(d\) does not change with respect to time \(t\) in that interval).

Step2: Relate slope to motion

The slope of a distance - time graph represents the speed \(v\). The formula for speed is \(v=\frac{\Delta d}{\Delta t}\). Since \(\Delta d = 0\) (for the time interval around \(t = 5\) seconds), \(v = 0\) (the dog is not moving).

Answer:

The dog stopped to lie down and obey the trainer’s command.