Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic( as the heart rests). Blood pressures vary substantially from person to person, but a typical blood pressure 120/80, where systolic blood pressure is 120 mmHg and the diastolic is 80 mmHg, is considered a normal blood pressure for a healthy person.
Assuming that a person’s heart beats 70 times per minutes, the systolic blood pressure P of an individual after t seconds can be modeled by the trigonometric function
p(t) = 100 + 20 sin(7πt/3)
In the interval [0, 1], determine the time at which the blood pressure is
120 mmHg.