Answer:
[tex]a=1 \frac{m}{s^{2} }[/tex]
Explanation:
Apply Newton's second law of motion ([tex]Force= mass*acceleration[/tex])
Then: [tex]acceleration= \frac{Force}{mass}[/tex] ,[tex]acceleration = \frac{1N}{1kg} =1\frac{m}{s^{2} }[/tex]
(Note: [tex]N=kg*\frac{m}{s^{2} }[/tex], the "kg" cancel and the resulting unit is [tex]\frac{m}{s^{2} }[/tex])