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  1. Displacement is measured in units of length, such as meters. Velocity is speed in a given direction. Speed describes only how fast an object is moving, whereas velocity gives both the speed and direction of the object. Velocity is measured in units of length per time, such as meters/second.

  2. Define position, displacement, and distance traveled. Calculate the total displacement given the position as a function of time. Determine the total distance traveled. Calculate the average velocity given the displacement and elapsed time.

  3. Calculate the velocity vector given the position vector as a function of time. Calculate the average velocity in multiple dimensions. Displacement and velocity in two or three dimensions are straightforward extensions of the one-dimensional definitions.

  4. The answers to these questions require that you specify your position, your displacement, and your average velocitythe terms we define in this section. Position To describe the motion of an object, you must first be able to describe its position (x): where it is at any particular time .

  5. The way we define average velocity is similar to average speed, but with one important difference: we use the displacement, instead of the distance. So, the average velocity \ (v_ {av}\) of an object, moving along a straight line, over a time interval \ (\Delta t\) is.

  6. Calculate position vectors in a multidimensional displacement problem. Solve for the displacement in two or three dimensions. Calculate the velocity vector given the position vector as a function of time.

  7. There are three one-dimensional equations of motion for constant acceleration: velocity-time, displacement-time, and velocity-displacement.

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