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