Pick a segment on the graph and explain how to find the slope at this segment. Point out that the plot starts at (0,0) because the initial velocity is zero. Relate the simplified equation v ¯ = d t v ¯ = d t to a graph of displacement versus time. Remind students that they studied velocity in earlier chapters. Be sure everyone is completely comfortable with the idea that velocity is displacement divided by the time during which the displacement occurs. The first kinematic equation relates displacement d, average velocity v ¯ v ¯, and time t. Constant acceleration is acceleration that does not change over time. The kinematic equations that we will be using apply to conditions of constant acceleration, except where noted, and show how these concepts are related. We are only concerned with motion in one dimension. We are studying concepts related to motion: time, displacement, velocity, and especially acceleration. How the Kinematic Equations are Related to Acceleration Explain that these equations can also be represented graphically. Review graphical analysis, including axes, algebraic signs, how to designate points on a coordinate plane, i.e., ( x, y), slopes, and intercepts. Explain that this section introduces five equations that allow us to solve a wider range of problems than just finding acceleration from time and velocity. Briefly review displacement, time, velocity, and acceleration their variables, and their units.
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