The graph represents the motion of an object moving in one dimension. What is the object's average acceleration between t = 0 and t = 6 s?

Answer 1

Acceleration is d²x/dt².

Average acceleration over a < t < c is

(c – a)⁻¹ ∫ₐᶜ(d²x/dt²)dt = (c – a)⁻¹(v(c) – v(a)) by the Fundamental Theorem of Calculus, where the velocity function v(t) = dx/dt can presumably be obtained from the graph that was not provided here.