 | This chapter takes the variables of position, time, velocity, and acceleration and weaves them together in a mathematical model that describes linear motion. This model is versatile and accurate enough to be used for everything from navigating submarines and spacecraft to moving toy robots and driverless vehicles. The model starts with the graphs of position versus time and velocity versus time. The concept of slope is applied to both graphs to derive two equations that describe position and speed in accelerated motion. These equations are then applied to free fall and other common situations.
|  | | By the end of this chapter you should be able to
|  | create and interpret x vs. t graphs for uniformly accelerated motion;
| | create and interpret v vs. t graphs for uniformly accelerated motion;
| | solve problems in one-dimensional motion involving position, velocity, time, and constant acceleration;
| | solve a one-dimensional motion problem with two equations and two unknowns; and
| | calculate speed and position for bodies in free fall.
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|  | 4A: Acceleration
4B: A model for accelerated motion
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