Abody oscillates with simple harmonic motion accordingto the
equation:
x = (6.0 m) cos [( 3pai rad/s) t + pai/3 rad]
at t = 2.0 s, what are:
a.) the displacement
b.) the velocity
c.) the acceleration
d.) the phase of the motion
also, what are
e.) the frequency and
f.) the period of the motion?

(a) displacement= 6.0m

(b) velocity = 8.996m/s

(c) acceleration

(d) phase of motion= 2.999

(e) frequency= 1.499hz

(f) period of motion= 0.667sec

Explanation:Given that,

X= (6.0m) cos (3πrad/s)t + π/3rad...(i)

Compare equation (i) to wave equation,

Y= A cos (wt) + kx...(ii)

(a) displacement which is also known as amplitude A. So by comparing equation (i) & (ii), we have A= 6.0m

Therefore,displacement= 6.0m

(b) velocity=B/T (where B= wavelength and T=period)

Wavelength B=2π/k (where k=π/3,comparing the two equations)

Therefore, wavelength B=2π÷π/3=6

Period T= 2π/w (where w=3π,comparing the two equations)

Therefore, period T=2π÷3π=0.667sec

Therefore, Velocity V=B/T=6/0.667=8.996m/s

(d)phase of motion=t/T (where t= elapsed time and T=period)

T=0.667sec ( from (c) solving for velocity)

t=2.0s, as given in the question

Therefore, phase of motion= t/T=2/0.667=2.999

(e) frequency=1/T (where T is the period)

T=0.667secs (recall from (c) while solving for velocity)

Therefore, frequency=1/T=1/0.667=1.499hz

(f) period=1/f (where f= frequency)

Therefore, period=1/f=1/1.499=0.667secs.

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.

elctricity and magnet is conversion to it