Avector has an x-component of -3.09m and a y-component of 187. find the magnitude and direction of the vector.

187 meters, 90.9 degrees

Explanation:

vx = -3.09 m

vy = 187 m

Use Pythagorean theorem to find the magnitude:

v² = vx² + vy²

v² = (-3.09)² + 187²

v² = 9.55 + 34969

v² = 34978.55

v = 187 meters

Use trigonometry to find the angle:

θ = atan(vy / vx)

θ = atan(187 / -3.09)

θ = -89.1°, 90.9°

Since θ is in the second quadrant, θ = 90.9°.

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.