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  1. 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.

  2. 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.

  3. phys.libretexts.org › Bookshelves › University_Physics7.1: Work - Physics LibreTexts

    28 Μαρ 2024 · The work done by a force, →F, on an object over a displacement, →d, is defined to be: W = →F →d = Fdcosθ = Fxdx + Fydy + Fzdz. where θ is the angle between the vectors when they are placed tail to tail, as in Figure 7.1.1. The dimension of work, force times displacement, is also called "energy''.

  4. In words, you can express Equation 7.1 for the work done by a force acting over a displacement as a product of one component acting parallel to the other component. From the properties of vectors, it doesn’t matter if you take the component of the force parallel to the displacement or the component of the displacement parallel to the force ...

  5. phys.libretexts.org › Bookshelves › University_Physics7.2: Work - Physics LibreTexts

    Learning Objectives. Represent the work done by any force. Evaluate the work done for various forces. In physics, work represents a type of energy. Work is done when a force acts on something that undergoes a displacement from one position to another.

  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. 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.

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