A particle moves in the plane so that and

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves in the plane so that

\dfrac{dx}{dt}=2t

and

\dfrac{dy}{dt}=3t^{2}

. At time

t=0

the particle is located at the point

(1,-2)

. Which of the following is the correct expression for

y

as a function of

t

? (a)

3t^{3}-2

(b)

t^{3}-2

(c)

t^{3}+1

(d)

t^{3}+2