Answer:
Solving the given formula for v2 gives us:
[tex]a(t_2-t_1)+v_1 = v_2[/tex]
Step-by-step explanation:
Solving an equation for a particular variable means that the variable has to be isolated on one side of the equation.
Given equation is:
[tex]a = \frac{v_2-v_1}{t_2-t_1}[/tex]
Multiplying both sides by t2-t1
[tex](t_2-t_1) . a = \frac{v_2-v_1}{t_2-t_1} . (t_2-t_1)\\a(t_2-t_1) = v_2-v_1[/tex]
Adding v1 to both sides of the equation
[tex]a(t_2-t_1)+v_1 = v_2-v_1+v_1\\a(t_2-t_1)+v_1 = v_2[/tex]
Hence,
Solving the given formula for v2 gives us:
[tex]a(t_2-t_1)+v_1 = v_2[/tex]
