A Body Moves Along a Coordinate Line in Such a Way

question 39

Short Answer

A body moves along a coordinate line in such a way that its velocity at any time $t$ , where $0 \leq t \leq 6$ , is given by $v ( t ) = t \sqrt { 36 - t ^ { 2 } }$
Find its position function if it is initially located at the origin.

---

Definitions:

Gabriel's Rebellion

An unsuccessful slave rebellion led by Gabriel Prosser in 1800 in Richmond, Virginia, aiming to achieve freedom for African-American slaves.

Slave Leaders

Individuals who assumed leadership roles during periods of slavery, often organizing revolts, escapes, or advocating for the rights and freedom of enslaved people.

Autonomy

The capacity of an entity, typically a country, state, or individual, to govern itself independently.

Federalists

A political group in the early United States that advocated for a strong federal government and supported the ratification of the U.S. Constitution.