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In January 2017, when Clemson won the football championship, Coach Dabo Swinney decided to buy pizza for all students at Clemson to celebrate. So, From his office(Death Valley), he drove 100 m North to reach HWY 93, 200 m East to reach the 133 Junction(Downtown) and 500 m North to reach Papa John's to place his order. What was the total displacement of Coach Swinney

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Answer:

Explanation:

We shall represent each move of coach in vector form , considering unit vector i towards east and unit vector j towards north .

he drove 100 m North

First displacement D₁ = 100 j

200 m East to reach the 133

second displacement D₂ = 200 i

500 m North to reach Papa John's

third displacement

D₃ = 500 j

Total displacement ( resultant displacement )

= D₁ + D₂ + D₃

= 100 j + 200 i + 500 j

= 200 i + 600 j

magnitude of resultant displacement

= √ ( 200² + 600² )

= √ 40000 + 360000

= 632.45  m

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