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Mathematics
Mathematics
Problem
A particle moves so that its velocity at time
t
t
t
seconds is
v
(
t
)
=
k
t
2
−
2
t
+
1
v(t)=kt^{2}-2t+1
v
(
t
)
=
k
t
2
−
2
t
+
1
meters per second, where
k
k
k
is a constant. The particle's position is 5 meters at
t
=
0
t=0
t
=
0
and 20 meters at
t
=
3
t=3
t
=
3
. Determine the value of
k
k
k
.
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