A girl takes her dog for a walk. She walks 5.0 km [N], turns left and walks another 12 km [W], and then turns left again and walks another 10 km [S]. (a) Draw a vector diagram describing their motion. (b) What is the total distance that they travelled? (c) What is their displacement? (d) In what direction would they need to travel in order to return to their starting point in the shortest distance?

Explain the difference between each pair of concepts. a. frequency and relative frequency b. percentage and relative frequency a. select the correct choice below. a. frequency is the total number of observations in a data set. relative frequency is the number of times a particular distinct value occurs. b. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of a value to the total number of observations. c. frequency is the total number of observations in a data set. relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency. d. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of two different values.

Asolid cylinder and a cylindrical shell have the same mass, same radius, and turn on frictionless, horizontal axles. the cylindrical shell has light-weight spokes connecting the shell to the axle. a rope is wrapped around each cylinder and tied to blocks of equal masses that are held the same height above the ground. both blocks are released simultaneously. the ropes do not slip. which block hits the ground first? or is it a tie?

Abar magnet cut in half will form a total ofpoles. a)fourb)eightc)two