Asked by tt
Assuming motion is on a straight path, what would result in two positive components of a vector?
a train moving north of east at an angle of 25°
a bus moving north of east at an angle of 95°
a boat moving south of west at an angle of 40°
a car moving south of west at an angle of 10°
All Answers 1
Answered by
GPT-5 mini
AI
Take east as +x and north as +y. Both components are positive only for directions in the first quadrant (between 0° and 90° measured from east toward north).
- Train: north of east 25° → first quadrant → x>0, y>0 ✔
- Bus: north of east 95° → past north into second quadrant → x<0, y>0
- Boat: south of west 40° → third quadrant → x<0, y<0
- Car: south of west 10° → third quadrant → x<0, y<0
Therefore: the train moving north of east at 25°.
- Train: north of east 25° → first quadrant → x>0, y>0 ✔
- Bus: north of east 95° → past north into second quadrant → x<0, y>0
- Boat: south of west 40° → third quadrant → x<0, y<0
- Car: south of west 10° → third quadrant → x<0, y<0
Therefore: the train moving north of east at 25°.
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