how can i make an object accelerate slowly in the game engine?
Using servo motion.
Use a physics with dynamic objects
F = Force
m = mass of object
a = acceleration
F = m * a >>> a = F / m.
Less Force or more mass will cause slower acceleration.
There’s a ‘Damp’ value setting in Logic menu (F4-key) to give a simplified aerodynamic drag characteristic for your object to prevent a ‘Ludicrous speed’ as a result of never ending acceleration.