The correct answer to this open question is the following.
Considering that the U.S. was engaged in the Cold War with the Soviet Union at this time, the reason why might President Kennedy had chosen to include this line about leadership in his speech was that the Soviet Union had already launched the Sputnik spacecraft into space. This represented a notorious advantage for the USSR against the United States as the two rivals during the Cold War years. The US could not fall behind its worst enemy in those years, that is why President Kennedy decided to heavily invest in the space race program and shorten the distance with the USSR.
The Cold Wars with the Soviet Union, Incorporated everywhere leadership in his speech was the Soviet-Union and had established the Sputnik space-craft to space.
Considering that the U.S. was confronted in the Cold War with the Soviet Union at this time, the explanation why might President Kennedy had chosen to incorporate this line everywhere leadership in his speech was that the Soviet Union had already established the Sputnik spacecraft into space.
This designated a notorious benefit for the USSR against the United States as the two competitors during the Cold War years. The US could not decline behind its worst antagonist in those years, that is why President Kennedy decided to heavily invest in the distance race program and shorten the space with the USSR.
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