To sketch the position-time, velocity-time, and acceleration-time graphs for the dog running in a straight line with a constant velocity of 3 m/s[W], we need to consider the given information.
Position-Time Graph:
The position-time graph shows the position of the dog at different points in time. Since the dog is running in a straight line, its position will change linearly with time. Here's a sketch of the position-time graph:
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17m | .
| .
| .
| .
2m | ..............
|_________________________
t = 0s t
The graph starts at 17 meters and decreases linearly to 2 meters as time progresses.
Velocity-Time Graph:
Since the dog is moving with a constant velocity of 3 m/s[W], the velocity-time graph will be a horizontal line at 3 m/s[W] throughout. Here's a sketch of the velocity-time graph:
3 m/s[W] |______________________
| |
| |
| |
| |
|______________________|
t
The velocity remains constant at 3 m/s[W] throughout the duration.
Acceleration-Time Graph:
As the dog is moving with a constant velocity, its acceleration is zero. Therefore, the acceleration-time graph will be a horizontal line at zero throughout. Here's a sketch of the acceleration-time graph:
0 m/s² |______________________
| |
| |
| |
| |
|______________________|
t
The acceleration remains zero throughout, indicating no change in velocity.
Please note that the graphs are simplified representations and not to scale. They provide a visual understanding of how the position, velocity, and acceleration of the dog change over time in this scenario.