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Mathematics
Mathematics
Problem
Consider the vector function
r
(
t
)
=
⟨
a
e
a
t
,
sin
t
,
cos
t
⟩
r(t)=\langle a e^{a t},\,\sin t,\,\cos t\rangle
r
(
t
)
=
⟨
a
e
a
t
,
sin
t
,
cos
t
⟩
, where
a
a
a
is a real constant. For which value of
a
a
a
does the particle move at constant speed for all
t
t
t
? a)
a
=
−
1
a=-1
a
=
−
1
b)
a
=
0
a=0
a
=
0
c) All real values of
a
a
a
d)
a
=
1
a=1
a
=
1
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