Find the Speed of a Particle with the Given Position $$r ( t ) = t \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + 3 t ^ { 6 } \mathbf { k }$$

question 135

Short Answer

Find the speed of a particle with the given position function.
$$r ( t ) = t \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + 3 t ^ { 6 } \mathbf { k }$$

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Definitions:

Teenage Pregnancy

A term describing pregnancies occurring in girls aged 13-19, often associated with social, economic, and health challenges.

Contraception

Methods or devices used to prevent pregnancy and reduce the risk of sexually transmitted infections.

Consequences

The outcomes or effects that result from a specific action or set of actions, impacting future choices and behaviors.

Teenage Pregnancy

A term used to describe pregnancies in adolescent females under the age of 20.