A light source lies at the bottom of a pool of water. It emits a beam of light that strikes the interface between the water and an unknown medium at 45 degree. The index of refraction of water is n = Take the point where the light beam strikes the interface to be the origin of the x-y coordinate system. The marked grid unit is 1.0 so the source is located at x = -2 m, y = -2m.

a. If the refracted ray passes through A, what is the index of refraction of the top medium?
b. If the refracted beam passes through A, how much time does it take light to get from the source to point A?
c. If instead, the refracted ray passes through B, what is the index of refraction of the top medium?
d. If the refracted beam passes through B, how much time does it take light to get from the source to point B?
e. What would the index of refraction of the unknown medium have to be for all the light to be totally internally reflected so it passed through point C? Is this possible? Justify our answer.

Jason and mia are both running in a race. as they approach the finish line, you being the physicist that you are decide to time how long it takes them to reach the end of the race. when you start your stop watch (you can take this as time t = 0 s) you notice that mia is an unknown distance d ahead of jason and both are moving with the same initial velocity v_0. you also notice that jason is accelerating at a constant rate of a_j, while mia is deaccelerating at a constant rate of -a_m. jason and mia meet each other for the first time at time t = t_1. at this time (t = t_1) jason's velocity is two times that of mia's velocity, meaning v_j (t_1) = 2v_m (t_1). a) draw the position vs. time graph describing mia's and jason's motion from time t = 0 to time t = t_1. clearly label your axes and initial conditions on your graph. b) draw the velocity vs. time graph describing mia and jason's motion from time t = 0s to time t = t_1. clearly label your axes and initial conditions on your graph. c) how long from when the stop watch was started at t = 0s did it take mia and jason to meet? express your answer in terms of know quantities v_0, a_m, and a_j. d) when the stop watch started at time t = 0s, how far apart, d, were mia and jason? express your answer in terms of know quantities v_0, a_m, and a_j.