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Module 1: Vectors 2

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Differentiation and anti differentiation of vectors

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XSIQ
*

Advanced Mathematics - Differentiation and anti differentiation of
vectors

Differentiation and anti differentiation of vectors

This deals with the motion of particles which vary with time in 2 or 3
dimensions, and uses calculus to obtain the position, velocity and
acceleration vectors.

a. Find the particles speed.

b. Show that the acceleration of the particle is always perpendicular to
its velocity.

Answer

The acceleration of this particle is always perpendicular to its velocity.


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