Introduction to Calculus in Physics: Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is classical physics, particularly.l Newtonian mechanics. An important function is the position function 5 {t} that measures howfarthe object is from point I] at time t. The question below deals withjust the position function 3 {t}. Problem Set question: The position function for a falling objects is given by 3 {t} = 1l51t2 + out + 30. where s [t] is the height ofthe object in feet, on is the initial velocity, s is the initial height, and t is the time in seconds. P. ball is shot upwards from the surface ofthe earth {:0 = lCI} with an initial velocity of ll feet per second. What is the maximum height reached by the hall? Round your answer to the nearest integer. The maximum height reached by the ball is Number Units