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A particle's position is such that its acceleration equals $4\ m/s^2$ for all time.

If both velocity and position are positive and have a magnitude of $5$ at $t = 1$, find the position at $t = 3$.

A

$31\text{ meters}$

B

$23\text{ meters}$

C

$13\text{ meters}$

D

$21\text{ meters}$

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