To solve the formula [tex]\( F = ma \)[/tex] for [tex]\( a \)[/tex], we need to isolate [tex]\( a \)[/tex] on one side of the equation.
The given formula is:
[tex]\[ F = ma \][/tex]
Here, [tex]\( F \)[/tex] represents force, [tex]\( m \)[/tex] represents mass, and [tex]\( a \)[/tex] represents acceleration.
To isolate [tex]\( a \)[/tex], we divide both sides of the equation by [tex]\( m \)[/tex]:
[tex]\[ \frac{F}{m} = \frac{ma}{m} \][/tex]
Since [tex]\( m \)[/tex] cancels out on the right side, we get:
[tex]\[ \frac{F}{m} = a \][/tex]
Therefore, the correct solution for [tex]\( a \)[/tex] is:
[tex]\[ a = \frac{F}{m} \][/tex]
Hence, the correct answer is:
[tex]\[ a = \frac{F}{m} \][/tex]