Yes, the blood pressure and heart rate return to normal after 5 minutes of physical exercise as, ANS will detect the decreasing level of oxygen and activate parasympathetic system to normalize the heart rate. The increasing of heart rate does not cause the blood pressure to increase at the same rate. After 5 minutes it return to normal as when you exercise heart rate speed up so that is why more blood reach in the muscles so it cause high heart rate and blood pressure for some minutes.
