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Displacement, Velocity and Acceleration as Vectors

The displacement, velocity and acceleration of a particle have the same relationship in vector form as when motion is along a straight line:

Integration and differentiation are done in a natural way, with the direction vectorsand being constant vectors.

Example:

The position vector,of a particle at timeis given by

Find expressions for the acceleration and velocity of the particle.

Example

The acceleration vector,of a particle at timeis given by

Find expressions for the velocityand accelerationof the particle, ifandat

When

When

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