  We first investigate intersections of an S-brane with a single p-brane and
show that in addition to the already known solutions, it is possible to place
the S-brane so that the radial part of the p-brane is not included in its
worldvolume. This leads to a new set of solutions. Secondly, we consider
intersections of an S-brane with a supersymmetric Dp_1-Dp_2 intersection and
find the list of allowed solutions for both positions of the S-brane. Among
them there are D1-D5-S1 and D1-D5-S5 intersections which might be appropriate
for studying time dependent AdS/CFT correspondence.
