PLEASE SOLVE the whole qestion if you do not know how to solve it please leave i

Question

PLEASE SOLVE the whole qestion if you do not know how to solve it please leave it to somone else this qesition worth many points

Question: The position of Bob's apartment is 5.1 km and 50 degrees east of north relative to the center of the OSU campus. His first class of the day starts at 9:00 AM and is held in a room located 0.85 km and 30 degrees east of south relative to the campus center. Take the unit vector i as being in a easterly direction and the unit vector j as being an northerly direction. Calculate the following: a) The position of both his apartment and the classroom in terms of the unit vectors b) The straight-line distance between his apartment and the classroom. c) He can ride his bicycle at a speed of 20 km/hr and takes a straight-line (direct) route to class. At what time will he need to leave home to get to class on time?

Explanation / Answer

r1 = 5.1 (sin50 i + cos50 j)

r1 = 3.91 i + 3.28 j

r2 = 0.85 (sin30 i - cos30 j)

r2 = 0.425i - 0.736 j

r = r1 +r2 = 4.33i + 2.54j km

|r| = sqrt(4.33^2 + 2.54^2) = 5.02 km

(a) position = 4.33i + 2.54j km

(b) distance = |r| = 5.02 km

(c) t = 5.02 / 20 = 0.25 min

time he should strat = 8.35 AM

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