A river 500 ft wide flows with a speed of 8 ft/s with respect to the earth. A woman swims with a speed of 4 ft/s with respect to the water.
1) If the woman heads directly across the river, how far downstream is she swept when she reaches the opposite bank?
d1 =
2) If she wants to be swept a smaller distance downstream, she heads a bit upstream. Suppose she orients her body in the water at an angle of 37° upstream (where 0° means heading straight accross, as in part (a)), how far downstream is she swept before reaching the opposite bank?
d2 =
3) For the conditions of part (b), how long does it take for her to reach the opposite bank?
t =

1)

2)  

3)

Explanation:

Given:

width of river,

speed of stream with respect to the ground,

speed of the swimmer with respect to water,

Now the resultant of the two velocities perpendicular to each other:

Now the angle of the resultant velocity form the vertical:

so,

Now the distance swept downward:

2)

On swimming 37° upstream:

The velocity component of stream cancelled by the swimmer:

Now the net effective speed of stream sweeping the swimmer:

The  component of swimmer's velocity heading directly towards the opposite bank:

Now the angle of the resultant velocity of the swimmer from the normal to the stream:

Now the distance swept downstream:

3)

Time taken in crossing the rive in case 1:

Time taken in crossing the rive in case 2:

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.

the current is 0.6

voltage ÷ resistance = current

so 12 ÷ 20 = 0.6