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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.
Displacement-time graphs show the displacement of an object from a fixed origin as it moves in a straight line. They show displacement (on the vertical axis) against time (on the horizontal axis) Displacement-time graphs can go below the horizontal axis whereas distance-time graphs can not.
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 ?
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.
A negative gradient = a negative velocity (the object is moving backwards) The gradient (slope) of a displacement-time graph is equal to velocity. The greater the slope, the greater the velocity. Worked example. A car driver sees a hazard ahead and applies the brakes to bring the car to rest.What does the displacement-time graph look like? Exam Tip
Learn Calculating Displacement from Velocity-Time Graphs with free step-by-step video explanations and practice problems by experienced tutors.
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.
