A particle has velocity for and position

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

Problem

A particle has velocity

\mathbf v(t)=\langle 3t^{2},4\rangle

for

t\ge 0

and position

\mathbf r(0)=\langle 5,-1\rangle

. Determine the particle’s

y

–coordinate at time

t=3

. (a)

17

(b)

11

(c)

12

(d)

4