2: When Apollo 15 astronaut David Scott dropped a hammer and a feather on the moon to demonstratethat in a vacuum all bodies fall with the same (constant) acceleration, he released the two objectsfrom a hight of 4 feet. The footage of this experiment shows that the hammer and feather falling moreslowly than on Earth, where, in a vacuum, they would have taken only a half a second to fall the 4 ft.How long did it take the hammer and feather to fall 4 feet on the moon, given that the accelerations ofthe two objects is s00(0) = 5.2 (ft per second) per second, the velocity of the two objects is s0(0) = 0feet per second, and the initial position of the two objects is s(0) = 4 feet? To answer the question,follow these steps:a. Use the information provided to write a T2(t) to approximate the position function s(t) whent = 0.b. Use the Taylor polynomial in part (a) to approxima