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?

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

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