A particle moves in the plane along the path and for

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

Problem

A particle moves in the plane along the path

x=3t

and

y=4t

for

t\ge 0

. Let

s

denote the arc length of the path measured from

t=0

. Which of the following gives

t

as a function of

s

? (a)

t=\dfrac{s}{7}

(b)

t=5s

(c)

t=\dfrac{s}{5}

(d)

t=\dfrac{s}{4}