Answer:
[tex]\frac{v - u}{a} = t[/tex]
Step-by-step explanation:
Given
[tex]v = u + at[/tex]
Required
Solve for t
[tex]v = u + at[/tex]
Subtract u from both sides
[tex]v - u = u - u + at[/tex]
[tex]v - u = at[/tex]
Divide both sides by 1
[tex]\frac{v - u}{a} = \frac{at}{a}[/tex]
[tex]\frac{v - u}{a} = t[/tex]
[tex]t = \frac{v - u}{a}[/tex]