How to solve for a in yf=yi+vi *t + 1/2*at^2. Also, What’s this formulas name

Question

Step by step please. This one is hard to get

Answer 1

I think there are supposed to be some subscripts there.....

In prose, I think it is this:

Final position = initial position + initial velocity*time + 1/2 * a * t²

Using y for position, I would write it as:

Y_f = Y_i + V_i * t + 1/2 * a *t²

This is the general formula for total distance as a function of velocity, acceleration, and time.

To write an equation for a, simply rearrange the terms, so that the term with a is on the left, and everything else on the right. Then divide each side by t² / 2