A trolley starts at velocity u and accelerates uniformly at a. Two graphs build as it moves. On the displacement-time graph the curve steepens, and its gradient (the tangent) is the velocity. On the velocity-time graph the line is straight, its gradient is the acceleration, and the shaded area beneath it is the displacement. Change u and a and watch every read-out respond.
MissionRun a trip, then say what the shaded area under the velocity-time line represents.Streak 0Best 0
The shaded area under the velocity-time graph represents the:
displacement s (area under v-t)0.0 m
velocity v (gradient of s-t)4.0 m/s
acceleration a (gradient of v-t)2.0 m/s²
gradient of s-t = velocity; gradient of v-t = acceleration; area under v-t = displacement.