posted by Matt

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

  1. martha

  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.

Respond to this Question

First Name

Your Answer

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?
  10. Calculus AB

    Could someone please help me with these tangent line problems?

More Similar Questions