In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.

The area under a curve can be estimated by dividing it into triangles, rectangles and trapeziums. If we have a speed-time or velocity-time graph, the distance travelled can be estimated by finding the ...

Elastic flows and gradient flows in planar curves form a vibrant area of research in geometric analysis, where curves evolve in time under rules dictated by an energy functional. Central to this ...