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Physics
Physics
Problem
The displacement of a particle executing simple harmonic motion is given by
x
(
t
)
=
A
cos
(
ω
t
+
ϕ
)
x(t)=A\cos(\omega t+\phi)
x
(
t
)
=
A
cos
(
ω
t
+
ϕ
)
. Which one of the following expressions represents its instantaneous velocity
v
(
t
)
v(t)
v
(
t
)
? a)
A
ω
sin
(
ω
t
+
ϕ
)
A\omega\sin(\omega t+\phi)
A
ω
sin
(
ω
t
+
ϕ
)
b)
−
A
ω
sin
(
ω
t
+
ϕ
)
-A\omega\sin(\omega t+\phi)
−
A
ω
sin
(
ω
t
+
ϕ
)
c)
−
A
ω
cos
(
ω
t
+
ϕ
)
-A\omega\cos(\omega t+\phi)
−
A
ω
cos
(
ω
t
+
ϕ
)
d)
−
A
ω
sin
(
ω
t
)
-A\omega\sin(\omega t)
−
A
ω
sin
(
ω
t
)
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