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Mathematics
Problem
A particle starts from rest at
t
=
0
t=0
t
=
0
. Its acceleration decreases linearly from
4
m/s
2
4\,\text{m/s}^{2}
4
m/s
2
at
t
=
0
t=0
t
=
0
to
−
4
m/s
2
-4\,\text{m/s}^{2}
−
4
m/s
2
at
t
=
8
s
t=8\,\text{s}
t
=
8
s
, crossing the time axis at
t
=
4
s
t=4\,\text{s}
t
=
4
s
. Determine the maximum velocity attained by the particle during this interval.
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