You can use a UIPushBehavior
:
UIPushBehavior *pushBehavior = [[UIPushBehavior alloc] initWithItems:@[self.viewToAccelerate] mode:UIPushBehaviorModeContinuous];
pushBehavior.angle = M_PI_4;
pushBehavior.magnitude = 0.3;
[self.animator addBehavior:pushBehavior];
You just change the mode
to UIPushBehaviorModeContinuous
to make a constant force. Play with the magnitude and angle until it matches your needs. This will apply constant acceleration to your view.