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Mathematics
Mathematics
Problem
A particle moves along a line with velocity
v
(
t
)
=
(
t
−
1
)
(
t
−
3
)
v(t)=(t-1)(t-3)
v
(
t
)
=
(
t
−
1
)
(
t
−
3
)
meters per second for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
. Let
D
D
D
be the total distance traveled and
Δ
x
\Delta x
Δ
x
the displacement on this interval. What is the value of
D
−
Δ
x
D-\Delta x
D
−
Δ
x
? a)
0
m
0\text{ m}
0
m
b)
4
3
m
\dfrac{4}{3}\text{ m}
3
4
m
c)
8
3
m
\dfrac{8}{3}\text{ m}
3
8
m
d)
16
3
m
\dfrac{16}{3}\text{ m}
3
16
m
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