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A dog is running in a straight line with a constant velocity 3m/s[W]. It is initially at the position 17m[E] and its final position is 2m[E]. Sketch the position-time, velocity-time, and acceleration-time graphs. Take [E] as the positive position direction.

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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:

|

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.

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