Intro To Parametric & Vector Calculus Worksheet - Calculus Maximus Ws 7.1 Page 4
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7Calculus Maximus
WS 7.1: Param & Vector Intro
10. (Calculator Permitted) A particle moves in the xy plane so that the position of the particle is given by
. Find the velocity vector at the time when the particle’s
and
y t
( )
8
t
1 cos
t
x t
( ) 5
t
3sin
t
x
horizontal position is
25
.
Free Response:
2
t
and
2
3
11. The position of a particle at any time
0
is given by
x t
( )
t
3
y t
( )
t
.
3
t .
(a) Find the magnitude of the velocity vector at time
5
t to
t .
(b) Find the total distance traveled by the particle from
0
5
dy
(c) Find
as a function of x.
dx
Page 4 of 7
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