Distance travelled can be found from the

A area under a velocity-time graph

B area under an acceleration-time graph

C gradient of a force-time graph

D gradient of a velocity-time graph

A

Explanation:

This is because distance traveled (i. e. displacement) is the integral of the velocity function, and velocity is the first derivative of the displacement function. To put this in perspective, the area bounded by a curve can be found by taking the integral of the equation of the curve, taking values on the x-axis as limits.