If an object moves along a curved path, how does the total distance traveled (path length) relate to the area under the speed-time graph, and how does displacement differ?

Mar 26, 2020 ... The area under a velocity curve represents the displacement. The ... would expect about half the velocity to be above and half below. The area under a force-time graph represents the product of force and time which is equal to the impulse of an object. What is the area under a force vs. Apr 30, 2019 ... This is because in a velocity-time graph, the distance is equal to the area under the graph. The second method would be using the equations of ... The method used to find the area under a line on a velocity-time graph depends upon whether the section bound by the line and the axes is a rectangle, a ... Aug 24, 2023 ... If a car moves at a constant velocity of 30 m/s for 5 seconds, the area under the graph would be a rectangle with a height of 30 m/s and a width of 5 seconds. Mar 28, 2023 ... If you're graphing force as a function of position, written as F(x), the area is the work done on the force. “Force” means a push on an object, ... The gradient of a distance-time graph is the instantaneous speed of the object. ... What does the area under a velocity-time graph represent? Click here to show ... Few responses identified the correct distance-time graph representing acceleration, with the first option ... These resources do not represent any particular ... Dec 5, 2018 ... ... graphs (mainly distance-time-graphs) ... the change of area correctly, but he decided for the graph representing a combination of correct graph. In layer bar mode, on the other hand, the time graph represents only the ... For spatial properties, such as Position, the Graph Editor defaults to the speed ...