Q. 4 A particle moves along a plane curve from a point
O
to a point
B
. The path length between
O
and
B
is 2 m . The tangential component of the acceleration is
a_(t)=0.05s(m)/(s^(2))
, where
s
is the path coordinate, measured in m from point
O
. The speed of the particle at
O
is
2(m)/(s)
, and the radius of curvature of the path at
B
is 3 m . Determine the magnitude of the acceleration of the particle at
B
.