Given a position vs. time graph, all sorts of analyses can be done. The slope through two points on the graph represents the change in position over the change in time, or the velocity. More precisely, this is equal to dx/dt where x models position and t is time. This is known as the derivative of the function.
Moreover, we can take d2x/dt2 (the second derivative) to obtain acceleration, another useful thing to know.
A position-time graph, is one in which position is plotted on the y-axis and the time is on the x-axis. A position-time graph is similar to a distance-time graph, but direction of motion in the y-axis.
No. Slope of position/time graph is speed, or magnitude of velocity.Slope of speed/time graph is magnitude of acceleration.
The area of a position-time graph does not have a meaning. However, the area under a velocity-time graph is the displacement. Refer to the related link below for an illustration.
The position at time t (and therefore the height of the p-t graph) will be the area under the v-t curve between time 0 and t.
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
A position-time graph, is one in which position is plotted on the y-axis and the time is on the x-axis. A position-time graph is similar to a distance-time graph, but direction of motion in the y-axis.
The velocity position time graph is rightward. This can change at anytime.
No. Slope of position/time graph is speed, or magnitude of velocity.Slope of speed/time graph is magnitude of acceleration.
The area of a position-time graph does not have a meaning. However, the area under a velocity-time graph is the displacement. Refer to the related link below for an illustration.
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A girl walks along a straight path to drop a letter in the letterbox and comes back to his initial position. Her displacement-time graph. Plot a velocity-time graph for the same
The position at time t (and therefore the height of the p-t graph) will be the area under the v-t curve between time 0 and t.
The Average Velocity on a position time graph or a velocity time graph.
That means the speed (the slope of the position-time graph) is decreasing.
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in position-time graph.
If the instant is finite, the object is in the position indicated on the graph