For problem 3, use the position function p(t) = 16t2 + th + DD, wheres is measured in feet, tin seconds and v0 and 110 are the initial velocity and position respectively. 3. A professional baseball pitcher was capable of throwing a baseball 160 ftfs. During his career, he had the opportunity to pitch in the Houston Astrodome. The Astrodome was an indoor stadium with a ceiling 208 ft. high. a. Could the pitcher have hit the ceiling of the Astrodome if he were capable of giving a baseball an upward velocity of 100 ftfs from a height of 7.5 ft? b. How fast would the pitcher have to throw a ball upward from a height of 7.5 feet in order to hit the ceiling of the Astrodome