A particle moves along a straight line so that its velocity and acceleration satisfy…

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

Problem

A particle moves along a straight line so that its velocity

v(t)

and acceleration

a(t)

satisfy the following sign chart. •

v(t) > 0

for

0 < t < 3

•

v(t) < 0

for

3 < t < 6

•

a(t) < 0

for

0 < t < 2

•

a(t) > 0

for

2 < t < 6

On which time interval is the particle speeding up? (a)

3<t<4

(b)

0<t<2

(c)

2<t<3

(d)

0<t<3