A particle moves so that its velocity is

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

Problem

\mathbf v(t)=3t\,\mathbf i+4\,\mathbf j+0\,\mathbf k

. At

t=1

, the particle is on the plane

x-2y+z=5

at the point where

y=1

. At what later time

t>1

does the particle next cross the same plane? (a)

t=4

(b)

t=\dfrac{13}{3}

(c)

t=\dfrac{9}{2}

(d)

t=5