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, particulad}.r Newtonian mechanics. An important function is the position function .9 (t) that measures how tarthe object is from point I] at time t. The question below deals with just the position function 5 {3). Problem Set question: The position function for a tailing objects is given by a (t) = 1t52 + out + 30, where s (t) isthe height ofthe object in feet, {:0 is the initial veltxjty, 3!] is the initial height, and t is the time in seconds. A ball is shot upwards from the surface or the earth (30 = '0] with an Initial velocity 01'55 feet per second. What is the maximum height reached by the ball? Round your answer to the nearest integer. The maximum height reached by the ball is Number I I Units