A particle moves along a horizontal line for on and on and on the remainder of the…

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

Problem

A particle moves along a horizontal line for

0<t<5

. Its velocity satisfies

f'(t)>0

(0,2)\cup(4,5)

and

f'(t)<0

(2,4)

. Its acceleration satisfies

f''(t)>0

(1,3)

and

f''(t)<0

on the remainder of the interval. On which of the following intervals is the particle speeding up? (a)

(1,3)

(b)

(0,2)\cup(4,5)

(c)

(1,2)\cup(3,4)

(d)

(1,2)