A1500kg weather rocket is launched upward from the ground and accelerates at 10m/s it explodes 4s after lifeoff and breaks into two fragments one twice as massive as the other. photos reveal that the lighter fragment traveled straight up and reached a maximum height of 530 m. what were the speed and direction of the heavier fragment just after the explosion?

v_h = 9 m/s

Explanation:

given,

mass of the rocket = 1500 kg

accelerates = 10 m/s²

time = 4 s

one fragment is twice as massive as the other.

maximum height reached by the lighter fragment = 530 m

now,

using equation of motion to calculate the velocity

initial velocity of rocket,u = 0 m/s

v = u + a t

v = at.......(1)

total mass of the rocket

M = m + m'

m' is the heavier particle mass.

m' = 2 m (from the statement given in the question)

M = 3 m

m = M/3

now, again using equation  of motion to calculate the initial velocity of the lighter particle.

v² = u² + 2 a s

0² = u² + 2 g h

u = √2gh.....(2)

now,

using conservation of momentum,

   2 v_h = 18

        v_h = 9 m/s

speed of the heavy fragment is equal to 9 m/s

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.

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