Your cousin has just retired and the family is gathering for a packing party to prepare her to move from Auckland to the Bay of Islands. (a) When walking to her place, you traverse four successive displacements as below: d1 = (−63i) m d2 = (−40 cos 40◦i − 40 sin 40◦j) m d3 = (+30 cos 50◦i− 30 sin 50◦j) m d4 = (−50j) m where i indicate east, j indicates north and the angles of 40◦ and 50◦ are angles to the east-west direction. (i) Sketch a map of the four successive displacement vectors.

1) when you rub your hands together quickly, the kinetic energy is converted to mechanical energy.2) thermal energy from the sun travels to earth as infrared waves.3) energy is transferred through the matter of space by electromagnetic waves. 4) when a match is burned, chemical potential energy is converted to thermal and radiant energy. 5) seismicwaves are caused by back and forth movement , or vibration, of an object. 6) mechanicalenergy in an engine changes thermal energy into kinetic energy to make a car move.