# Math/Physics

posted by Matt

For a velocity-time graph, what does the "tangent line of the curve" represent?

1. martha

math.sc.edu/~diestelg/teaching/calcnotes.pdf

2. martha

the tangent line of the curve s(t) = t. 2 +2t at the point (1, s(1)) = (1, 3) ... 0, y = 0 or y = 3. Therefore, the graph does not pass the. vertical line test.

3. Damon

If velocity is on your vertical axis and time is on your horizontal axis, then the slope at a point on the curve is the slope of the tangent to the curve at that point.
That is the (change in velocity)/(change in time) at that point on the curve, which is the ACCELERATION at that time.

## Similar Questions

1. ### Math

How can I determine a value of gradient from a graph if the line is curved. (not a straight line) This is where Calculus comes in If a graph is a curve, then the gradient (slope) of the curve is the slope of the tangent that you draw …
2. ### physics

The first graph you plotted is called a speed-time graph. However, information other than speed or time can be obtained from such graphs. (a) What does the area under the line of the graph represent?
3. ### physics

the slope of a velocity-time graph represents?
4. ### math

With regards to question J: The variables x and y are connected by the equation y = x2 - x - 5. Some corresponding values of x and y are given in the table below. x -4 -3 -2 -1 0 1 2 3 4 5 y 15 7 a -3 -5 b -3 1 7 15 (a) Calculate the …
5. ### Physics - position time graph

The graph shows position as a function of time for 2 trains running on parallel tracks. The graph shows line A at a 45 degree angle,beginning at origin. Curve B also begins at origin, continues up and to the right (all in quadrant …
6. ### Calculus

Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line tangent to the curve has slope 1/2. (c) Show that there are now points (x,y) on the curve where the line tangent …
7. ### calculus

find an equation of the tangent line to the curve at the given point. graph the curve and the tangent line y=x/x-1 at (2,2) )
8. ### Physics

The position time-graph for the motion of a certain particle is a smooth curve, like a parabola.At a given instant of time the tangent line to t he position-time graph has a negative slope. is the instantaneous velocity of the particle …
9. ### Calculus AB

Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive?