The position of a particle as a function of time

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

Problem

t

, is given by

x(t) = at + bt^2 - ct^3

where,

a, b

and

c

are constants. When the particle attains zero acceleration, then its velocity will be: (1)

a + \frac{b^2}{4c}

(2)

a + \frac{b^2}{3c}

(3)

a + \frac{b^2}{c}

(4)

a + \frac{b^2}{2c}