Velocity vs time graph1/10/2024 Since distance travelled = average speed × time, this is represented by the area between the curve and the time axis. The distance that the ball travels in any time interval can also be obtained from the graphs. In each case the gradient of the graph is numerically equal to the acceleration (as the ball is moving vertically this is free-fall acceleration), but the gradient of the velocity–time graph also shows that the direction of the acceleration (vertically downwards) is opposite to that of the initial velocity. The velocity–time graph also shows the change in direction of the ball. The speed–time graph shows that the speed decreases to zero as the ball reaches its maximum height and then increases. The graphs below both represent the motion of a ball after it has been thrown vertically upwards with an initial speed of 15 m s –1. Speed–time and velocity–time graphs both give information about the motion of an object that is accelerating. This means that an object moving at constant speed, but changing direction, is accelerating. In physics, any change in velocity is an acceleration. It is represented by the gradient of a velocity–time graph.Īverage acceleration = change in velocity ÷ time a = Δv ÷ ΔtĪcceleration is a vector quantity and is measured in m s –2. Instantaneous acceleration = rate of change of velocity. Acceleration is a measure of how quickly the velocity of an object changes. ![]() ![]() Speeding up, slowing down and going round a corner at constant speed are all examples of acceleration. Any object that is changing its speed or direction is accelerating.
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