Show that these three forms of writing equations for oscillatory motion are equivalent. (the constant a in the first equation does not have to be the same as the constant a in the third equation)
x(t) = aei? t + be-i? t
x(t) = csin(? t) + dcos(? t)
x(t) = asin(? t + ? )

c, 1a hope this

1= 26.17

2= 1.17

3=30.86

4=5.86

just took the assigment on edge

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.