The block in the drawing has dimensions l0×2l0×3l0,where l0 =0.5 m. the block has a thermal conductivity of 200 j/(s·m·c˚). in drawings a, b, and c, heat is conducted through the block in three different directions; in each case the temperature of the warmer surface is 37 ˚c and that of the cooler surface is 7 ˚c determine the heat that flows in 4 s for each case.

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.