Option A is correct. The resultant quantity is 50m/s to the right.
Vector quantities are quantities that have both magnitude and direction.
From the diagram shown, we can see that 100m/s vector moves in the positive x-direction, this means that the of magnitude the vector is +100m/s.
For the vector 50m/s, we can see that it is moving in the negative x-direction, this shows that the magnitude of the 50m/s vector is -50m/s.
Resultant speed = +100 - 50
Resultant speed = +50m/s
Since the resultant speed is a positive value, this mean that the resultant quantity will be moving towards the right.
Hence the correct option will be 50m/s to the right.
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