Questionomit Assignment Practice MA111 Fall 24
Question 12 - of 48 Step 1 of 1
Solve the following formula for the indicated variable. $\mathrm{v}^{2}=\mathrm{v}_{0}^{2}+2 \mathrm{ax} ; \text { solve for } a$
Answer 2 Points

Studdy Solution

STEP 1

1. The given equation is a kinematic equation from physics.
2. We are solving for the variable $a$ .

STEP 2

1. Isolate the term containing $a$ .
2. Solve for $a$ .

STEP 3

Start with the given equation and isolate the term containing $a$ :
$v^2 = v_0^2 + 2ax$
Subtract $v_0^2$ from both sides to isolate the term with $a$ :
$v^2 - v_0^2 = 2ax$

STEP 4

To solve for $a$ , divide both sides of the equation by $2x$ :
$\frac{v^2 - v_0^2}{2x} = a$
Thus, the formula solved for $a$ is:
$a = \frac{v^2 - v_0^2}{2x}$
The solution for $a$ is:
$\boxed{a = \frac{v^2 - v_0^2}{2x}}$

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