Acar is traveling at a constant negative velocity of 8.0 m/s. the driver steps on the brakes. the car slows to a stop. the car travels 20.0 m while it is slowing down. what is the magnitude of its acceleration? [hint: you do not need to know time to solve this.]

Explanation:

We need to use the formula (proof at the end), where the square of the final velocity is equal to the square of the initial velocity plus to times the product of the acceleration suffered and the displacement done. We have everything except the acceleration, which we proceed to calculate as:

Substituting the values we have then:

In case one wants to know where the original formula comes from, I'll derive it from the equations and .

We obtain t from the last equation:

And substitute it on the other one:

Multiplying all by 2a we get:

And working out the right hand side we obtain:

So we got , which is the formula we started with.

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.