Ajogger travels due south and in the process his displacement vector has a magnitude of 4.68 km. he then jogs due west what is the magnitude of the displacement vector in the due west direction if the magnitude of the total displacement vector is 7.41 km

In this case, we can draw a right triangle. We are given the measure of one of the sides and the hypotenuse. Therefore we can calculate for the magnitude of the west direction using the hypotenuse formula. Let us say that b = west distance:

7.41^2 = b^2 + 4.68^2

b^2 = 33.0057 km^2

b = 5.75 km

Hence the magnitude in the west direction is about 5.75 km

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.

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.