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Mathematics
Mathematics
Problem
The velocity
v
(
t
)
v(t)
v
(
t
)
of a car (in m/s) is continuous for
0
≤
t
≤
8
0\le t\le 8
0
≤
t
≤
8
and satisfies
v
(
0
)
=
6
v(0)=6
v
(
0
)
=
6
and
v
(
8
)
=
−
3
v(8)=-3
v
(
8
)
=
−
3
. Determine whether there is a time
c
c
c
in
(
0
,
8
)
(0,8)
(
0
,
8
)
at which
v
(
c
)
=
0
v(c)=0
v
(
c
)
=
0
, and provide a brief justification.
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