A football is kicked vertically upward with an initial velocity of 65 feet per second. After one second the football is 51 feet above the ground. a) find the position function s with respect to time t
b) what height was the ball kicked from
c) what will the greatest height of the ball be
d) how long will it take the football to reach the ground

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?