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Displacement Vector. To describe motion in two and three dimensions, we must first establish a coordinate system and a convention for the axes. We generally use the coordinates x, y, and z to locate a particle at point P ( x, y, z) in three dimensions. If the particle is moving, the variables x, y, and z are functions of time ( t ):
12 wrz 2022 · 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.
The word displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object. It can be defined mathematically with the following equation:
12 wrz 2022 · 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.
A quantity, such as displacement, that has both magnitude and direction is called a vector. A vector with magnitude zero is a special case of a vector that has no direction.
Displacement can be calculated by measuring the final distance away from a point, and then subtracting the initial distance. Displacement is key when determining velocity (which is also a vector). Velocity = displacement/time whereas speed is distance/time.
Distance is a scalar measure of an interval measured along a path. Displacement is a vector measure of an interval measured along the shortest path.
