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!