Calculus is a powerful tool used in all areas of physics. One ofthe initial applications areas is classical physics, particularly Newtonian mechanics. An important function is the position function 31:1!) that measures how far the object is from point 0 at time t. The question below deals with just the position function 3(1]. Problem Set question: The position tunction for a falling objects is given by s {t} = 11332 + out + s, where s (t) is the height of the object in feet. 1:0 is the initial yelocity. 30 is the initial height, and t is the time in seconds. Aball is shot upwards from the surface ofthe earth [SCI = D) with an initial velocity.r 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 Units