Question

Which is the route of minimum displacement for astronaut B from his current location,
back to the spacecraft to pick up the hammer?

Answer 1

Answer:

C

Explanation:

it is the shortest straight line distance from his location to the origin

Answer 2

The minimum displacement between two points is a straight line,

therefore, the route of minimum displacement is the straight route.

• The route of minimum displacement for astronaut B is c) C

Reasons:

The coordinate of the location of astronaut B = (1, -2)

Location of the spacecraft = The origin (0, 0)

The shortest distance between two points is a straight line.

Therefore;

The magnitude of the displacement of astronaut B are;

Option A = 1 unit right + 2 units down = 3 units

Option B = 2 units down + 1 unit right = 3 units

Option C = By Pythagorean theorem, displacement = √(2² + 1²) = √5

Given that √5 units < 3 units, we have;

The route of minimum displacement is option C. which is the straight route between the locations

Learn more about the Pythagorean theorem here:

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