A particle moves along the curve defined by and for

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A particle moves along the curve defined by

x(t)=3t

and

y(t)=4t

for

t\ge 0

. Determine the value of

t

at which the particle has traveled a total distance of

10

units from the origin.