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 Newtonian mechanics. An important function is the position function 3 (t) that measures how far the object is from point 0 at time t. The question below deals with just the position function 5 (t). Problem Set question: The position function for a falling objects is given by s (t) = 1(:3t2 + vot + 50. where s (t) is the height of the object in feet, 210 is the initial velocity, so is the initial height, and t is the time in seconds. A ball is shot upwards from the surface of the earth (so = 0) with an initial velocity of 45 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 ' Units