Question

1. Show all the atepa neceasary to convert 2.00 kilometera into milea atarting from 2.54 cm 1 inch. Explicitly ahow how the intermediate unita divide out in the converaion. 2. A poaition veotor ia alwaya drawn with ita tail at the origin. It haa unita of length and it locatea a point in a choaen coordinate ayatem. A diaplacement veotor ia drawn with ita tail anywhere in the coordinate apace. Diaplacement vectora alao have unita of length and repreaent the atraight-line diatance and direction an object might move from a atarting poaition to an ending poaition. If the object movea along a curved path, the diaplacement vector ia then shorter than the path length. Given all thia, draw a aet of x and y axea centered on the page acale where one graph grid repreaenta 1 om. a. and chooa e a compress ed b. Draww one position vector and then two oonsecutive diaplacement vectora from the point identified by the poaition vector. (So, the object of intereat atarta at the point indicated by the poaition vector and then movea through two conaecutive diaplacementa.) Label these vectora F, d and da Let F- 7 cmi +2 cmj, d --5 cmi 4 cmj and o. Find the veetor d, auch that+d+dd0. Draw thia vector on the graph and write d, uaing componenta and unit veotora d. Caloulate the magnitude of d, e. Caloulate the counter-elockwiae (COW) angle d, makea with an imaginary, poaitive a- ans drawn from ita tail. Anavrer: 126.9。 3. Fill in each blank with one word to correctly complete the following sentenoe The projection of a poaition vector onto any coordinate axia ia alwaya the a. of that vector the veotor makea with the axia. by the of the b. A an example of part (a), auppoae the Sun ia direotly overhead and you place one end of a meter-atick on the ground and hold the other end so the meter-atick makea a 60 degree angle with the ground. How long ia the ahadow caat by the meter-atick?

Answer 1