Question

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

Answer 1

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