Graphical Analysis of motion Assignment Help
Graphical Analysis of motion
Average VelocityThe average velocity between two points in a given time interval can be obtained from a displacement versus-time graph by computing the slope of the straight line joining the coordinates of the two points.
The instantaneous velocity at time t is the slope of the tangent line drawn to the position-versus-time graph at that time.
Average AccelerationThe average acceleration between two points in a time interval is equal to the slope of the chord connecting the points on a velocity -versus-time graph.
The instantaneous acceleration at time t is the slope of the tangent drawn to the velocity-versus-time graph.
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Displacement from Velocity-Time Graphs
Given a velocity-versus-time graph, the displacement during an interval between time ti and tf is the area bounded by the velocity curve and the two vertical lines t = ti and t = tf, as shown in the figure.
Velocity from Acceleration Graphs
Given an acceleration-versus-time graph, the change in velocity between t = ti and t = tf is the area bounded by the acceleration curve and the vertical lines t = ti and t = tf.
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