Mathematical Methods · anti-differentiation · manipulative

Displacement is s₀ plus signed area

Shade the v–t graph from 0 to t. Add that signed area to the starting displacement — the track shows where the object actually is.

Where the object is

v(t) area v > 0 area v < 0

Forward velocity adds area; backward velocity subtracts · s₀ shifts the whole track

Time and start

1.2
1

Working