Questions: Which variable is missing from this kinematic equation? Δx = 1/2(vf + vi) t vf Δx a

Transcript text: Which variable is missing from this kinematic equation? \[ \Delta x=\frac{1}{2}\left(v_{\mathrm{f}}+v_{i}\right) t \] $v_{f}$ $\Delta x$ $a$

Solution

Solution Steps

Step 1: Identify the given kinematic equation

The given kinematic equation is: \[ \Delta x = \frac{1}{2}\left(v_{\mathrm{f}} + v_{i}\right) t \]

Step 2: List the variables in the equation

The variables present in the equation are:

$\Delta x$: Displacement
$v_{\mathrm{f}}$: Final velocity
$v_{i}$: Initial velocity
$t$: Time

Step 3: Identify the missing variable

The kinematic equations typically involve five variables: displacement ($\Delta x$), initial velocity ($v_i$), final velocity ($v_f$), acceleration ($a$), and time ($t$). The given equation does not include the variable for acceleration ($a$).

Final Answer

The missing variable is: \[ \boxed{a} \]

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