Intro To Parametric & Vector Calculus Worksheet - Calculus Maximus Ws 7.1 Page 2
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7Calculus Maximus
WS 7.1: Param & Vector Intro
4. If a particle moves in the xy plane so that at time t, its position vector is
2
sin 3
t
,3
t
, find the
2
velocity vector at time
t
.
2
for
t . At
5. A particle moves on the curve
so that its x-component has velocity
y
ln
x
x t
( )
t
1
0
t , the particle is at the point
t .
time
0
1, 0 . Find the position of the particle at time
1
6. A particle moves in the xy plane in such a way that its velocity vector is
3
1
, t t
. If the position
t
t .
vector at
0
is 5, 0 , find the position of the particle at
2
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