control a motor w/ timed relay

hi,

I've got a 12V motor connect to a DPDT Switch Centre Off Spring Return Both Sides as shown on below.

So, when i press and hold the upper button, it will turn clockwise. press the lower side button, motor will turn anti-clockwise

Now, i want to use  trunk release function on my car alarm to control that motor(a red w/balck stripe cable on my alarm which is for trunk release). 

i want to do is when i press the trunk release button(without holding it) on the alarm remote, the motor start to turn clockwise (or anti clockwise, doesnt matter) for about 8-9 seconds(cant be more then 9.5 seconds) and then stop.

any chance to do it with a relay? how can i connect it to the setup in the picture above? any other thing (eg capacitor, resistor etc) i need to connect between them in case to make that work??

Thank you very much for help~~~