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Mathematics
Mathematics
Problem
The velocity of a particle is
v
(
t
)
=
12
t
−
5
m s
−
1
v(t)=12t-5\;\text{m s}^{-1}
v
(
t
)
=
12
t
−
5
m s
−
1
, where
t
t
t
is in seconds. The particle is
7
m
7\text{ m}
7
m
from the origin at
t
=
0
t=0
t
=
0
. a. (i) Determine its position function
s
(
t
)
s(t)
s
(
t
)
. b. (ii) Find its acceleration at
t
=
3
s
t=3\text{ s}
t
=
3
s
.
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