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Mathematics
Problem
A car’s acceleration for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
s is
a
(
t
)
=
2
e
−
0.5
t
a(t)=2e^{-0.5t}
a
(
t
)
=
2
e
−
0.5
t
m/s
2
^{2}
2
. Its velocity at
t
=
0
t=0
t
=
0
is
10
10
10
m/s. Calculate the car’s displacement during the first
4
4
4
seconds.
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