Question

What is the magnitude of the resultant of
a 3.0-
meter displacement and a 4.0-meter
displacement as shown in the diagram?
A. 1.0 meter
4.0 meters
B. 5.0 meters
3.0 meters
C. 7.0 meters
D. 12 meters

Answer 1

Answer:b. 5.0 meters

Explanation: d² = 3²+4²

d² = 9+16

d² = 25

d = √25

d = 5m

Answer 2

The magnitude of the displacement is 5 m as shown in the diagram. Option B is correct.

What is displacement?

Displacement can be defined as the total change in the position of the object. It is a vector quantity.

From the Pythagorean theorem,

$d =\sqrt { 3^2 +4^2}\\\\d = \sqrt {25}\\\\d = 5$

Therefore, the magnitude of the displacement is 5 m.

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