Instantaneous vs. Average Speed (HSC SSCE Mathematics Advanced): Flashcards

Total distance divided by total time over an interval

$\frac{d(t_2) - d(t_1)}{t_2 - t_1}$

Speed at a specific moment in time

Gradient of tangent line at a point

Gradient of secant line connecting two points

Connects two points on the curve

Use average speed over a very small interval

Secant line approaches tangent line

Acceleration or deceleration

Average: interval; Instantaneous: single moment