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It works because displacement is the product of velocity and time. And in our graph when you multiply velocity and time you're basically multiplying two lengths in our graph and that gives us the area. And so that's the secret to calculating displacements and from a velocity time graph.
Worked example. (a) Calculate the velocity of the athlete during the first 2 seconds. (b) Describe the motion of the athlete between the times of 2 seconds and 5 seconds. (c) Calculate the velocity of the athlete at 10 seconds. (d) Find the total distanced travelled by the athlete during the 14 seconds.
Its velocity v as a function of time t is given in the graph below where rightwards is the positive velocity direction. At what time does the penguin have the same position as t = 0 s ?
In this explainer, we will learn how to use displacement–time graphs and interpret the slope of the curve as the velocity of the body.
Finding displacement from velocity graphs. Google Classroom. Microsoft Teams. You might need: Calculator. An eagle is flying around and its velocity v as a function of time t is given in the graph below where rightwards is the positive velocity direction.
The Velocity-Time Graphs: Displacement Calculations Interactive Video Tutorial describes the significance of area on a velocity-time graph. Details about how to calculate the area between the line and the time axis are explained and modeled through numerous examples.
Displacement-time graph - A displacement-time graph shows the change in displacement over a time period. The displacement along a straight line can be positive or negative. Gradient - The gradient on a displacement-time graph gives the instantaneous velocity.
