A bullet is shot horizontally from the edge of a tall cliff. At the instant the bullet is shot, a rock is dropped from the same height. Neglecting air resistance, which one will hit the ground first

The bullet and the rock will hit the ground at exactly the same time

Explanation:

Due to the gravitational forces, defined by Newton's law of gravitation, the acceleration of objects towards the center of the Earth is constant and equal to the acceleration due to gravity, g ≈ 9.8 m/s².

Therefore, given that the initial vertical velocity, u, of the rock and the bullet are both equal to zero, from the following equation of motion, we have;

s = u×t + 1/2·g·t²

t = Time

s = The height from which the bullet is fired and the rock is dropped

s = 0×t + 1/2 × 9.8 × t²

s = 1/2 × 9.8 × t²

t  = √(2 × s/9.8)

Therefore, the time to hit the ground is only dependent on the height from which the bullet and the rock were allowed to fall freely.

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.