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AP® Calculus AB-BC

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Moderate

Finding a Position Function Using Rectilinear Motion

APCALC-JG6F1A

A particle travels along the $x$-axis with velocity at time $t\ge0$ given by: $v(t)=2\sqrt{t}+\cos(t)$.

Find the position of the particle at time $t=5$ given that the particle is at the origin at time $t=0$.

A

$0.731$

B

$2.365$

C

$13.948$

D

$15.191$