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A displacement time graph plots the displacement of the object displacement (metres) from some fixed origin against time. For example, the journey described in the graph to the right can be described as follows, Phase 1: The object moves away from the origin (at a constant speed) for 2 seconds.
1. Displacement-time graphs. Any point on such a graph has coordinates (t,s), in which s is the displacement after a time t. Worked Example 1. Figure 1 shows the displacement-time graph for a tennis ball which is thrown vertically up in the air from a player’s hand and then falls to the ground. The graph illustrates the motion of the ball.
a) Describe the motion of the object for each of the 5 intervals. You may use speeding up, slowing down, going at constant velocity, to the left or to the right. b) When does the object turn around? c) Find the acceleration of the object during interval A and interval D. d) Find the displacement of the object during interval B.
To relate the area between the line and the time-axis of a velocity-time graph to the displacement of the object and to determine such displacement values using an area calculation. To analyze position-time graphs and transpose them into the corresponding velocity-time graphs (and vice versa).
3. The displacement-time graph on the right represents the motion!of a motorbike along a straight race track.! a) Determine the displacement during the first three seconds.! ÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉ b) What is the displacement over the entire six seconds of the journey? ÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ÉÉÉ ...
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.
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.
