Undergraduate

Recall that the work required to move an object along a curve C in a force field F is given by W = C F

Recall that the work required to move an object along a curve C in a force field F is given by
W =
C
F dr =
ba
F(r(t)) r'(t) dt,
where
r(t), a t b,
is a parameterization of C.
A simple way to parameterize the given curve C is to let
x = x(t)= t,
and rewrite
y = x3
in terms of t.
y = y(t)=
t3
With this parameterization, the part of the curve from
(0,0)
to
(2,8)
corresponds to an initial value
t = a =
and terminal value
t = b =
.

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