For a particle moving in space

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

Problem

For a particle moving in space, the acceleration is

\mathbf{a}(t)=\langle 6kt,0,-2\rangle

, where

k

is a constant. Given

\mathbf{v}(0)=\langle 3,0,4\rangle

and

\mathbf{v}(1)=\langle 9,0,2\rangle

, what is the value of

k

? (a)

3

(b)

2

(c)

1

(d)

\dfrac{3}{2}