How far down the slope does the arrow hit if it is shot with a speed of 50 m/s? hint: there are several strategies to solve this problem. this hint discusses two different methods. method 1: the arrow must land on the slope, so write y(x) of the slope as y= tan(phi)*x, where phi is angle of the slope and it must be negative. note that you need to define a coordinate system, which you might assign the origin at the position of the archer, and +x is to the right in graphic. all angles must be with respect to the positive x direction. the slope angle in the picture does not conform to this requirement so you have to determine the slope angle from the information given. that is why you should write -phi for the angle of the slope.

How many milliliters of water at 23 °c with a density of 1.00 g/ml must be mixed with 180 ml (about 6 oz) of coffee at 95 °c so that the resulting combination will have a temperature of 60 °c? assume that coffee and water have the same density and the same specific heat. how much will the temperature of a cup (180 g) of coffee at 95 °c be reduced when a 45 g silver spoon (specific heat 0.24 j/g °c) at 25 °c is placed in the coffee and the two are allowed to reach the same temperature? assume that the coffee has the same density and specific heat as water. a 45-g aluminum spoon (specific heat 0.88 j/g °c) at 24 °c is placed in 180 ml (180 g) of coffee at 85 °c and the temperature of the two become equal. (a) what is the final temperature when the two become equal? assume that coffee has the same specific heat as water. (b) the first time a student solved this problem she got an answer of 88 °c. explain why this is clearly an incorrect answer.