An irresolute boater drives south at 28 km/h for a half hour, pauses for 5 minut

Question

An irresolute boater drives south at 28 km/h for a half hour, pauses for 5 minutes, and then drives east for 45 minutes at 32 km/h. State his displacement vector in kilometers using rectangular coordinates. Use the convention that north and east are positive. I've found the first part to be 24.3(answer was verified as correct), but I am unable to find the second part. (24.3, ?) km An irresolute boater drives south at 28 km/h for a half hour, pauses for 5 minutes, and then drives east for 45 minutes at 32 km/h. State his displacement vector in kilometers using rectangular coordinates. Use the convention that north and east are positive. I've found the first part to be 24.3(answer was verified as correct), but I am unable to find the second part. (24.3, ?) km

Explanation / Answer

distance travelled south = 28 km/h x .5 hr = 14 km

distance travelled east = 32 km/h x 45/60 h = 24 km

net displacement = AC = root ( 14^2 + 24^2) = 27.78 km

disp vector for 1 st part = displacement / time = 14 / 35/60 = 24 km/h

disp vector for part east = 24 / 45/60 = 32 km

for total = 27.78 / (35 min + 45 min) = 20.835

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