Agolfer, putting on a green, requires three strokes to "hole the ball." during the first putt, the ball rolls 4.6 m due east. for the second putt, the ball travels 2.5 m at an angle 20° north of east. the third putt is 0.50 m due north. what displacement (magnitude and direction relative to due east) would have been needed to "hole the ball" on the very first putt?

The magnitude of the amount of energy released by burning a fuel source, measured in energy per unit mass, is called its fuel value. note that the fuel value is the negative of the isobaric specific heat of combustion for the fuel. if all the energy obtained from burning 1.23 pounds of butane with a fuel value of 10.85 kcal/g is used to heat 128.0 kg of water at an initial temperature of 18.3 °c, what is the final temperature? note that 1 lb = 453.6 g.