Astone is thrown at an angle of 45 degrees above the horizontal from the top edge of a cliff with an initial speed of 14 m/s. a stop watch measures the stone's trajectory time from top of cliff to bottom to be 6.9 s. how far (in meter) out from the cliff's edge does the stone travel horizontally? (air resistance is negligible)

Stone fall far from the cliff's edge horizontally is 68.31 m

Explanation:

Given data

Angle = ∅ = 45°

Initial velocity = v₀ = 14 ms⁻¹

Time = t = 6.9 s

As the stone thrown at an angle of 45° above horizontal, so it follow projectile path.

As we know that in projectile motion horizontal component of velocity throughout remain same. So there is no acceleration along horizontal. So we can use simple formula

                  Distance = Velocity × Time

                             Δx = v₀ Cos∅ × t

                             Δx = 14 Cos(45) × 6.9    

                            Δx = 68.31 m

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.