Question

Find a model for simple harmonic motion if the position at t=0 is 0, the amplitude is 5 centimeters, and the period is 2 seconds.
A. d = 5sin((Pi/2)t)
B. d = 2cos(5piT)
C. d = 5sin(piT)
D. d = 5cos(piT)

Answer 1

where did you stuck?

Answer 2

i know it can't be b...thats alll

Answer 3

d=amplitude
t=time
then verify the condition from the question.
You could also use the codomain, range of d to verify that.

Answer 4

Why it can't be b? what's the reason?

Answer 5

no .....5 is where the amplitude goes

Answer 6

it should be c

Answer 7

ty 2pi/2 i see now

Answer 8

Since t=0, d=0, so should be sin something

Answer 9

-a<=sin<=1 so should be d=5 sin(sth)

Answer 10

a period of sin is 2pi. so sth=2pi when t=2.

Answer 11

I got it already

Answer 12

Good