At half time, at a CU basketball game, you get picked to play the 'get the chicken in the washing basket game'. You launch a plastic chicken with a catapult and your friend has to catch the chicken in a washing basket held above their head. Assume that your friend holds the washing basket at a height of 1.80 m and is standing a horizontal distance L= 8.00m away from you. You launch the chicken from the ground (height =0m) at an angle of 75 degrees above the horizontal. At what speed should you launch the chicken to get it in the basket and win the prize?

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.