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Physics
Physics
Problem
The energy of a system as a function of time
t
t
t
is given as
E
(
t
)
=
A
2
exp
(
−
α
t
)
E(t) = A^2 \exp(-\alpha t)
E
(
t
)
=
A
2
exp
(
−
α
t
)
where
α
=
0.2
s
−
1
\alpha = 0.2 \text{ s}^{-1}
α
=
0.2
s
−
1
. The measurement of
A
A
A
has an error of 1.25%. If the error in the measurement of time is 1.50%, find the percentage error in the value of
E
(
t
)
E(t)
E
(
t
)
at
t
=
5
t = 5
t
=
5
s.
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