In reaching her destination, a backpacker walks with an average velocity of 1.48 m/s, due west. This average velocity results, because she hikes for 6.07 km with an average velocity of 3.29 m/s due west, turns around, and hikes with an average velocity of 0.791 m/s due east. How far east did she walk (in kilometers)?

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.