Tyler is driving home from school and finds that there is road construction being done on his favorite route so he has to take a detour. Tyler travels 4 km North, 8 km East, 3 Km South, 4 Km West and 6 Km South. What is Tyler's displacement ?

Explanation:

First we must know that the direction along the vertical are towards North and south while along the horizontal are towards east and west.

Sum of distances along the vertical

4km due north = +4km

3 Km South = -3km (south is along the negative y direction)

6 Km South = -6km

total distance along the vertical = 4-3-6 = -5km

Sum of distances along the horizontal;

8km due East = +8km

4 Km west = -4m (west is along the negative x direction)

total distance along the horizontal = 8-4 = 4km

Displacement is gotten by using Pythagoras theorem

d² = x²+y²

d² = (4)²+(-5)²

d² = 16+25

d² = 41

d = √41

d = 6.4km

Hence Tyler's displacement is 6.4km

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