A 3.0 kg particle moves along an
x
-axis, being propelled by a variable force directed along that axis. Its position is given by
x
=3.0m+(6.0(m)/(s))t+ct^(2)-(2.0(m)/(s^(3)))t^(3)
with
x
in meters and
t
in seconds. The factor
c
is a constant. At
t=2.0
s the force on the particle has a magnitude of
35N
and is in the negative direction of the axis. What is
c
? Number Units