A car travels east at 78 km/h for 7.5 h. It then travels 35.0° east of north at 111 km/h for 7.5 h.?
A) What is the average velocity for the trip?
magnitude ________km/h
direction________° north of east
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1) (78 x 7.5) + (111 x 7.5) = 1,417.5km. in 15 hrs.
Average = (1417.5/15) = 94.5kph.
(78 x 7.5) = 585km. north.
(111 x 7.5) = 832.5km. after changing direction by 35 degrees right.
North component = (cos 35) x 832.5, = 681.944km.
East component = (sin 35) x 832.5, = 477.5km.
Total north = (585 + 681.944) = 1266.44km.
Total east is 477.5km.
2a) Average velocity = sqrt. (477.5^2 + 1266.44^2) = 1,353.47km.
2b) Direction = arctan (1353.47/477.5) = 70.57 degrees north of east.
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