# If a bullet is fired vertically upwards, when it comes back does it fall to the same spot? [duplicate]

What I'm basically asking is that if a body is projected with sufficiently high velocity so that it doesn't escape from the earth's gravitational field but reaches an appreciable height with respect to the radius of the earth, then when it comes back will it land on the same spot from which it was fired? You can neglect drag force and winds but do consider the rotation of the earth.

Basically what has to be considered is that the net force acts towards the centre of the earth and so I tried conserving angular momentum. That shows that the angular velocity of the object will decrease with increasing height above the earth. So basically the object moves with smaller angular velocity for some time in it's path.

That led me to believe that when the object finally lands back on earth it wouldn't do so at the place from which it was projected. Am I wrong?

• Possible duplicates: physics.stackexchange.com/q/48287/2451 and links therein. Feb 24, 2015 at 15:35
• In which frame of reference do you want it to move vertically? May 8, 2015 at 22:01