AP® Calculus AB-BC

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Total Swing Distance of a Pendulum

APCALC-19MWXZ

A pendulum bob swings through an arc $70\text{ inches}$ long on its first swing. Each swing thereafter, it swings only $60 \% $ as far as on the previous swing. How far will it swing altogether before coming to a complete stop?

A

$233\text{ inches}$

B

$175 \text{ inches}$

C

$88 \text{ inches}$

D

$117 \text{ inches}$