Apply the impulse-momentum relation and the work-energy theorem to calculate the maximum value of t if the cake is not to end up on the floor. assume that the cake moves a distance d while still on the tablecloth and therefore a distance r? d while sliding on the table top. assume that the friction forces are independent of the relative speed of the sliding surfaces. you can easily try this trick yourself by pulling a sheet of paper out from under a glass of water, but have a mop handy just in case!