I vomited about 4 hours after taking my birth control pill. in my vomit was undigested food. is there any chance i may have also vomited up the pill?

BCP ?: Even if you did expel the bcp with vomiting, you are still protected from pregnancy. You may have brief light bleeding, from the pill "missed". During the placebo phase, there are seven "pills" with no hormones, so missing one is not going to interfere with the suppressive effect on ovarian function, although some bleeding may occur. Continue with your cycle with remaining active pills.