Mistake Master
Mistake Master · AP Calculus · Unit 1 · Step-Through Animation
Change at an Instant, Without Dividing by Zero
You'll learnhow a speed at a single instant can mean anything, when every speed you can actually compute needs two moments.
A speedometer reads one number at one instant, but an average speed needs two moments and a stretch of time between them. Watch the stretch shrink, and see what the averages are heading for. Twelve short steps; press Next for each one.
an average needs two moments · the rate at one moment is their limit
Before you start
What you're looking at
A graph of where something is at each moment, with one instant marked at t = 2.
The question
How fast is it moving at that one instant, when no time passes there?