The acceleration vector of a moving particle is 
. Its initial position is 
, and its initial velocity is 
.
Find the vector position at time 
.
Definitions:
Scoria Cone
A small, steep volcanic cone built from lava fragments (scoria) ejected during gas-charged explosive eruptions.
Pumice
A light, porous volcanic rock formed from explosive eruptions, known for its ability to float on water.
Welded Tuff
A type of rock formed from volcanic ash ejected during an eruption, which then falls and welds together under high temperature and pressure.
Feldspar
A group of rock-forming silicate minerals that make up a significant portion of the Earth's crust, commonly found in igneous, metamorphic, and sedimentary rocks.
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