A particle moves in the plane so that its position at time is given by for

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A particle moves in the plane so that its position at time

t

is given by

\mathbf r(t)=\langle t^{2}-4t,\;3t-6\rangle

for

0\le t\le6

. Determine all values of

t

at which the particle is at rest.