If Obama was born in Hawaii, there would be no question regarding his citizenship. However, if Obama was born in Kenya, he would not be a U.S. Citizen even though his mother was. When only one of a child's parents is a U.S. Citizen, a foreign born child is not a U.S. Citizen unless the parent meets very specific legal requirements. The Immigration and Nationality Act of 1952, Section 301 (a)(7) shows the relevant citizenship laws in effect at the time of Barack Obama's birth. According to the law, U.S. citizenship is granted at birth to:
A person born outside the geographical limits of the United States and is outlying possessions of parents one of whom is an alien, and the other a citizen of the United States who, prior to the birth of such persons was physically present in the United States or its outlying possessions for a period or periods totaling not less than ten years, at least five of which were after attaining the age of fourteen years: Provided that any periods of honorable service in the Armed Forces of the United States by such citizen parent may be included in computing the physical presence requirements of this paragraph (Emphasis my own).
According to the cited law, if Barack was born in Kenya he would not be a U.S. citizen unless prior to his birth his mother lived in the United states for at least five years following her fourteenth birthday. This means his mother had to be at least nineteen years old prior to his birth.
However, The record shows that Ann Dunham was born on November 29, 1942 and Barack was born on August 4, 1961, several months prior to his mother's nineteenth birthday. Therefore, if Obama was born in Kenya, he is not a U.S. citizen and is ineligible to be president.
You can Google this information or you can buy a book that I believe everyone should read. The above information can be found in the book Wheres' the Birth Certificate? The Case that Barack Obama is not eligible to be President, by Jerome R. Corsi (p. 55). Corsi's book is well researched and contains almost 80 exhibits. The book may not convince you that Obama was born in Kenya, but I am certain that no one who reads the book will laugh at those who believe he was.