Explain to me Step Functions for VT graphs

[kencamarador]

I am sort of confuse about this step functions. In the picture below, the top is the distance time graph and the bottom is velocity time graph. The arrow pointing is what is confusing me. Its not suppose to be a step up (answers in my book) but i calculated the slopes

First curve line = 30
Second straight diagonal line = 60
Second curve line = 35

So I put it in my velocity time graph but the part where the arrow is pointing, isn't that correct though?

But the correct answers show that the first line on the velocity time graph is connected to the horizontal second line.

I am so confuse...

Both graphs have same intervals.

http://imgur.com/52DSmKv

http://imgur.com/52DSmKv

 

[Delphi51]

No graphs are visible!

 

[kencamarador]

No graphs are visible!

i posted the link

http://imgur.com/52DSmKv

 

[Chestermiller]

The problem is with the first curved line. The average velocity from 0 to 6 is 30, but the velocity is varying from zero at t = 0 to a value higher than 30 at t = 6, in order for the average to be 30. If the velocity is varying linearly with time in this region, then the velocity at t = 6 has to be 60 in order to the average to be 30. Then there won't be any step.

 

[Nickie]

Step functions are a type of function that is defined by a series of horizontal lines or steps. In the context of distance-time and velocity-time graphs, step functions represent a sudden change in the velocity of an object.

In the given graphs, the top graph represents the distance-time relationship and the bottom graph represents the velocity-time relationship. The arrow pointing in the bottom graph indicates a sudden change in the velocity of the object. This sudden change can be seen as a step on the graph, hence the term "step function".

To better understand this concept, let's look at the first line on the velocity-time graph. This line represents the velocity of the object when it is moving at a constant speed of 30 meters per second. The second line, represented by a diagonal line, indicates that the object's velocity is changing at a constant rate of 60 meters per second per second. This means that for every second that passes, the object's velocity increases by 60 meters per second.

Now, when we reach the third line, represented by a curve, we see a sudden change in the velocity of the object. This is the point where the arrow is pointing in the graph. This sudden change can be interpreted as the object accelerating or decelerating at a certain rate. In this case, the object's velocity increases from 60 meters per second to 95 meters per second in a short period of time.

In summary, step functions in velocity-time graphs represent sudden changes in the velocity of an object. These changes can be seen as steps or jumps on the graph and can indicate acceleration or deceleration. It is important to note that the intervals on both graphs are the same, as distance and velocity are closely related. I hope this helps to clarify your confusion about step functions in velocity-time graphs.