A particle’s position is described by

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

Problem

\mathbf r(t)=\langle e^{2t},\,t^{2}\rangle

. What is the magnitude of its acceleration vector at

t=0

? (a)

6

(b)

4

(c)

2\sqrt{5}

(d)

\sqrt{5}