A particle moves along a straight line with velocity meters per second for seconds

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves along a straight line with velocity

v(t)=kt+3

meters per second for

0\le t\le 4

seconds. If the particle’s displacement during this interval is

20

meters, what is the value of

k

? (a)

-1

(b)

1

(c)

\dfrac{1}{2}

(d)

\dfrac{5}{2}