s = ut + 1/2 at

The equation shown in your image is: $S = ut + \frac{1}{2}at$ This equation is a common kinematic formula used in physics, but it is incorrectly written in your image. The second term is missing a $t$.

Step 1: Identify the equation. The equation written is $S = ut + \frac{1}{2}at$.

Step 2: State the correct kinematic equation. The correct kinematic equation for displacement under constant acceleration is: $S = ut + \frac{1}{2}at^2$ The equation in your image is missing the square on the $t$ in the second term.

Step 3: Define the variables in the correct equation. • $S$ represents the displacement (change in position). • $u$ represents the initial velocity. • $t$ represents the time elapsed. • $a$ represents the constant acceleration.

The correct equation is: $\boxed{S = ut + \frac{1}{2}at^2}$

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