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Mathematics
Mathematics
Problem
A particle moves along a straight line such that its position is
x
(
t
)
=
10
t
−
t
3
x(t)=10t-t^{3}
x
(
t
)
=
10
t
−
t
3
(in metres). Determine the magnitude of its acceleration when the particle momentarily comes to rest. a)
6
m s
−
2
6\,\text{m s}^{-2}
6
m s
−
2
b)
11
m s
−
2
11\,\text{m s}^{-2}
11
m s
−
2
c)
3.7
m s
−
2
3.7\,\text{m s}^{-2}
3.7
m s
−
2
d)
19
m s
−
2
19\,\text{m s}^{-2}
19
m s
−
2
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