15. A car starts from the center of city and in each consecutive hour it covers a distance of 15km (along north), 5 km (along east), 15 km (along south) and 10 km (along west) respectively. Assuming the centre of city to be the origin, north-south direction is along y axis and west-east direction is along x axis; show the various position of the car on the Cartesian plane. Also, find how far is the car from x and y axis respectively at its final position.
Answers
Given : it covers a distance of 15 km (along north)
5 km (along east),
15 km (along south)
10 km (along west)
To find : how far is the car from x and y axis respectively at its final position.
Solution:
it covers a distance of 15 km (along north)
5 km (along east),
15 km (along south)
10 km (along west)
Start from origin ( 0 , 0)
covers a distance of 15 km (along north) (0 , 15)
covers a distance of 5 km (along east), (5 , 15)
covers a distance of 15 km (along south) (5 , 0)
covers a distance of 10 km (along west), (-5 , 0)
Final position is 5 km from y axis and 0 km from y axis
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