What is the largest possible displacement resulting from two displacements with magnitudes 3m and 4m? what is the smallest possible resultant? draw sketches to demonstrate your answers?

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ariston ariston · Answer 1 · 2019-10-06T07:40:14+02:00

Answer:

largest displacement = 7 m

smallest displacement = 3 m

Explanation:

Displacement is a vector quantity. Net displacement means shortest distance between two positions. It can be calculated by:

Displacement = final position - initial position

largest displacement would be when the two displacement vectors would be in same direction.

Then, largest displacement = 3 m + 4 m = 7 m

Smallest displacement would be when the two vectors would be in opposite direction = 4 m - 3 m = 1 m

AFOKE88 AFOKE88 · Answer 2 · 2021-11-12T00:23:29+01:00

The smallest possible resultant of displacement is; 1 m.

Displacement is a vector quantity and is defined as the change in position of an object. Thus;

Displacement = final position - initial position

When two vectors are in the same direction, their resultant would be gotten by adding both of them.

However, when the two vectors are in opposite directions, their resultant will be gotten by subtraction of both vectors

If they act in same direction, then resultant displacement = 3m + 4m = 7m

If they act in different directions, then;

Resultant displacement = 4m - 3m = 1m

In conclusion, the smallest possible resultant of displacement is 1 m.

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