Imagine this map of temperature at the surface, where T(x, y) - Ax+By+C, and the lines are contours of T: dT dt y (km) 200 = 150 100 50 -50 -100 -150 -200 -200 -150 -100 -50 0 x (km) 50 100 150 200 20 15 10 5 0 -5 -10 And recall this equation for the rate of change of temperature at the surface: -15 ar ar ar +u +v- "x at (8) dy a) Suppose the wind is from the northwest at 7 m/s. Convert this wind into zonal (u) and meridional (v) components. b) Assuming Q = 0, and using A = -5 x 10-10 C/m, B = -5 x 10C/m, and C = 10C, compute the temperature at x = 0, y = 0 in 5 minutes, using the Eulerian perspective. c) Using the same method, compute the temperature at x = 0, y =0 in 2 hours. d) Now make a different estimate for the temperature in 2 hours, using the Lagrangian per- spective. Compare to the answer in (c). Which one is more accurate, and why? e) Finally, your instruments show that in fact the temperature in 2 hours is equal to 10.4C.You realize that this difference must be due to heating of the air near the surface e) Finally, your instruments show that in fact the temperature in 2 hours is equal to 10.4C. You realize that this difference must be due to heating of the air near the surface by the sun Estimate the solar heating rate in degrees celsius per second