@vbfbryce: I wouldn't recommend that method 
Reasons
1) Avoid words like ActiveCell, Selection. Directly perform the action that you want to do.
2) Avoid words like .Select. They are a major cause of errors and also slow down your code.
3) Avoid Hard-coded values like "65536". What if the user is using Excel 2007/2010/2011 and has data up till 70k rows?
@steveb1471: Welcome to the forums 
I wouldn't recommend xlDown as it will give you undesired results if your data in Col A will have blank cells in between. See this code. I have commented it so you shouldn't have any problem understanding it. Still if you do then do not hesitate to ask 
Code:
Sub Sample()
Dim wsI As Worksheet, wsO As Worksheet
Dim LastRow As Long
Set wsI = Sheets("Sheet1") '<~~ Input Sheet
Set wsO = Sheets("Sheet2") '<~~ Output Sheet
'~~> Get the next available row in Sheet2
LastRow = wsO.Range("A" & Rows.Count).End(xlUp).Row + 1
'~~> Copy row 2 from sheet1 to next available row in Sheet2
wsI.Rows(2).Copy wsO.Rows(LastRow)
End Sub