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The slope of a horizontal position versus time graph gives you the velocity in the x direction. The average slope gives you the average velocity. The instantaneous slope give you the instantaneous velocity and if it's a straight line with no curvature these are gonna be the same on any given line.
- 15 min
- David SantoPietro
- Because it leaves room for the graph to fail the vertical line test. Then it would not longer be a function; rather an inverse function.
- Yeah, I was going to mention this in the video but it got a little long. It is really unfortunate that the horizontal (independent variable) is alw...
- The function isn't differentiable at that point, because the functions is switching sides. This is because the left derivative and the right deriva...
- A1: 3m from an arbitrary point in space. for example it could be 3m from a starting line on a track. A2. From center of mass (note the white line t...
- No. Distance-vs.-time graphs only account for the total movement over time. Position-vs.-time graphs note one's position relative to a reference po...
- You will have to use a derivative function from calculus.
- "_At both 2 seconds and 4 seconds, the limits of the graph exist, but not the limits of the slopes at those points (am I stating this part correctl...
- Well.. Its actually position.. But yeah u can say that its the distance from zero.. i.e origin .. For eg.. when the the turtle is at 3 . it means t...
- It has a same unit but Velocity is vector while Speed is scalar. If you talk about Velocity, it's a vector, you need to know both magnitude and dir...
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
The graph of position versus time in Figure 2.13 is a curve rather than a straight line. The slope of the curve becomes steeper as time progresses, showing that the velocity is increasing over time. The slope at any point on a position-versus-time graph is the instantaneous velocity at that point.
The tutorial discusses the meaning of slope and the relationship between slope and velocity on a position-time graph. The procedure for calculating slopes is clearly explained and modeled using three sample calculations.
The slope of such graphs is equal to the velocity of the object. By calculating the slope, you are calculating the velocity. This page discusses the procedure for determining the slope of the line.
And you can describe the motion by analyzing the shape and slope of the lines on a position vs. time graph (or p-t graph). For example, the slope gives us speed value and speed direction (of course, we are talking about constant velocity motion). You can calculate it using the following equation: Of course, when you get the idea, it is easy to ...
