Sure, let's solve the given equation step-by-step for t.
1. The original equation is d=1/2(Vf+Vi)t.
2. To solve for t, we first want to isolate the variable t on one side of the equation. To do so, we could start by multiplying the both sides of the equation by 2 to remove the fraction. We get:
2d = (Vf+Vi)t
3. The next step is to get rid of the term in the parentheses, which is (Vf+Vi). We can achieve this by dividing both sides of the equation by (Vf+Vi). This gives us:
t = 2d / (Vf + Vi)
And this is the final form of the equation, which gives the time (t) in terms of the initial velocity (Vi), final velocity (Vf), and distance (d).