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What is the shape of a displacement-time graph for an object that is constantly speeding up?
If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.
Instantaneous speed at an instant is equal to magnitude of instantaneous velocity at that instant Why is it so?
Instantaneous velocity mean change of displacement in extremely small amount time. (in math way, taking[ lim t--->0 (change in displacements/change in time) ]. instantaneous speed is the same expect displacement change to distance. So,because of very very small change in time, magnitude of distance and displacement will be same for any direction the object is moving.
How do you convert displacement time graph into distance time graph?
Displacement is distance from starting point. If the object is always travelling in the same direction then they are the same. If the object turns round, the distance would still be increasing, however the displacement would be decreasing at the same rate.
Can you tell from a displacemnt-time graph wheather an object is stationary?
Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
How do you find the speed of an object falling with distance and time?
Speed = distance / time.
