Question

Sketch a graph (no units) showing what the position vs time graph would look like for...

Sketch a graph (no units) showing what the position vs time graph would look like for truck that is slowing down. Include 3 tangent lines to show 3 different speeds.

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Answer #1

Solution :

For an object which is slowing down - It will have negative acceleration.

Hence, initially it travels the maximum distance and the distance traveled in each interval of time reduces. That is, the distance traveled in 2nd second will be less than that traveled in the 1st second.

So, the graph will be a curve as shown in the figure below:

Here, The slope of the Position-vs-Time graph gives velocity of the objects.

As we can see from the graph : As the time passes the slope of the graph is also decreasing - The truck is slowing down.

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