Find the Velocity, Acceleration, and Speed of an Object with Position

question 93

Short Answer

Find the velocity, acceleration, and speed of an object with position function $\mathbf { r } ( t ) = 3 t \mathbf { i } + \left( 6 - t ^ { 2 } \right) \mathbf { j }$ for $t = 1$ Sketch the path of the object and its velocity and acceleration vectors.

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Definitions:

Strait of Gibraltar

A narrow passage of water connecting the Atlantic Ocean to the Mediterranean Sea, bordered by Spain in the north and Morocco in the south.

Atlantic Ocean

The Atlantic Ocean is the second-largest ocean in the world, separating the continents of North America and Europe to the west from Africa and Europe to the east.

Sediment

Particles of rock, soil, or biological origin that are transported and deposited by wind, water, or ice.

Sedimentary Rocks

Rocks formed by the accumulation and cementation of mineral and organic particles on the Earth's surface, often containing fossils.