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If a Particle Is Moving Along a Parameterized Curve r(t)\vec { r } ( t )

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If a particle is moving along a parameterized curve r(t)\vec { r } ( t ) , then the acceleration vector at any point cannot be parallel to the velocity vector at that point.


Definitions:

Continuous Innovation

Gradual improvements or minor changes in products or processes that aim to sustain or enhance market competitiveness.

Market Modification

Strategies businesses use to alter the perception or structure of a market to expand the potential customer base, which may include creating new use cases for products or targeting new demographics.

Innovation

The practical implementation of ideas that result in the introduction of new goods or services or improvement in offering goods or services.

Relative Advantage

The degree to which a new product or innovation is perceived as superior to existing alternatives, influencing its rate of adoption.

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