A particle travels from to along the -axis

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

A particle travels from

(0,0)

(2,0)

along the

x

-axis, then follows the quarter-circle defined by

x^{2}+y^{2}=4

with

y\ge 0

until it reaches

(0,2)

. Determine the total distance traveled by the particle.