Question

three people are standing by maintaining social distancing i.e 6 feet from each other. A doctor checks one person first then go to the other standing towards the east and then third person towards north. what will be the resultant displacement covered the doctor?​

Answer 1

8.5 feet.

Step-by-step explanation:

A sketch of the position of the three people gives a right angled triangle. The hypotenuse of the triangle gives the resultant displacement, while the two other sides are 6 feet each.

The resultant displacement, R, is the overall displacement covered by the doctor. This can be determined by;

R =
`\sqrt{d_(1) ^(2) + d_(2) ^(2) }`

where:
`d_(1)` = 6 feet and
`d_(2)` = 6 feet.

Thus,

R =
`\sqrt{6^(2) + 6^(2) }`

=
`√(72)`

R = 8.49

The resultant displacement covered by the doctor is 8.5 feet.