What Force Is Required So That a Particle of Mass $m$

question 114

Short Answer

What force is required so that a particle of mass $m$ has the following position function?
$$r ( t ) = 5 t ^ { 3 } \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 t ^ { 3 } \mathbf { k }$$

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Definitions:

Subrogation

The process by which one party assumes the legal rights of another party to collect a debt or claim.

Co-makers

Individuals or entities that jointly sign a loan or credit agreement, sharing equal liability for the repayment of the debt.

Cosureties

Two or more parties who jointly agree to guarantee the debt or obligation of another, sharing the liability.

Conditional Guarantor

A party that agrees to fulfill the obligations of a debtor, but only under specific conditions outlined in an agreement.