(Optics disguised as mechanics) In the bottom half of the cartesian plane (y < 0) the potential energy is UB and in the top half it is UT (both are constants). A particle with y < 0 is headed toward the the top half-plane with an initial kinetic energy TB at angle ϕB relative to the y axis. At what speed and angle ϕT does it emerge into the upper half of the plane? Discuss the relationship to Ibn Sahl's (aka Snell's) law that you remember from your elementary E&M class (PHYS119 if at UNC).

Calculate the velocity of a car traveling in a straight path due east with a distance of 16 meters in 2 seconds. question 1 options: a)32 m/s b)32 m/s e c) 8 m/s e d) 8 m/s

Ashot putter releases the shot some distance above the level ground with a velocity of 12.0 m/s, 51.0 ∘above the horizontal. the shot hits the ground 2.08 s later. you can ignore air resistance. how far did she throw the shot?

7. see worksheet 1 for values of variables x1, x2 and x3 and answer the following questions: a. for each variable find the mean, median, coefficient of skewness, range and population standard deviation. b. compared to variable x1, how are the mean and median affected by extreme values (outliers) seen in x2 and x3. c. is the median or mean the better measure of location for x2 and x3? explain. d. explain the differences in the magnitudes of the skewness coefficients for the three variables. e. what is the relationship between the range and standard deviation looking across the three variables?