Question

An egg that has been falling for x seconds has dropped at an average speed of 16x feet per second. If the egg is dropped from the top of a building, its total distance traveled is the product of the average rate times the time. Write a simplified expression to show the distance the egg has traveled after x seconds

Answer 1

$average \: rate \: of \: fall = 16x \: feet \: per \: second \\ duration \: of \: fall \: (time) = x \: seconds \\ distance \: of \: fall = 16x \: feet \: per \: second \times x \: seconds \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x(16x) \: feet \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16 {x}^{2} \: feet \\ \: the \: egg \: traveled \: 16 {x}^{2} \: feet \: in \: x \: seconds.$