The Position of a Particle at Time T Is Given $\frac { 1 } { 3 }$

question 6

Essay

The position of a particle at time t is given parametrically by y = t² and x = $\frac { 1 } { 3 }$ (t³ - 3t). Show that the particle crosses the y-axis three times.

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Definitions:

Acute Conditions

Medical conditions characterized by sudden onset, rapid progress, and the need for urgent care, often of short duration.

Chronic Conditions

Long-term health conditions that may not have a cure and can affect a person's quality of life over an extended period.

Combination Code

A single code used to classify two or more diagnoses, a diagnosis with an associated secondary process, or a diagnosis with an associated complication.

Sign Code

A system of symbols and signs, often governed by rules, used for communication, such as in traffic signs or in the use of sign language.