The position function for a particle is r ( t ) = a cos ( ω t ) i + b sin ( ω t ) j . Find the unit tangent vector and the unit normal vector at t = 0 .
The position function for a particle is r ( t ) = a cos ( ω t ) i + b sin ( ω t ) j . Find the unit tangent vector and the unit normal vector at t = 0 .
The position function for a particle is
r
(
t
)
=
a
cos
(
ω
t
)
i
+
b
sin
(
ω
t
)
j
.
Find the unit tangent vector and the unit normal vector at
t
=
0
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Can you help explain what I did based on partial fractions decomposition?
Find the surface area of the regular pyramid.
yd2
Suppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t)
in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to
t = 3.
d(t)
ds
= ["v (s) da = {
The displacement up to t = 3 is
d(3)-
meters.
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