Solved example of physics
What do we already know? We know the values for acceleration ($a$), velocity ($v$), distance ($y$), height ($y_0$) and want to calculate the value of velocity ($v_0$)
According to the initial data we have about the problem, the following formula would be the most useful to find the unknown ($v_0$) that we are looking for. We need to solve the equation below for $v_0$
We substitute the data of the problem in the formula and proceed to simplify the equation
Multiply $-2$ times $9.81$
Multiply $-19.62$ times $3.2$
Calculate the power $0^2$
Rearrange the equation
We need to isolate the dependent variable $v_0$, we can do that by simultaneously subtracting $-62.784$ from both sides of the equation
$x+0=x$, where $x$ is any expression
We need to isolate the dependent variable $v_0$, we can do that by simultaneously subtracting $-62.784$ from both sides of the equation
Removing the variable's exponent raising both sides of the equation to the power of $\frac{1}{2}$
Divide $1$ by $2$
Simplify $\sqrt{v_0^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $0.5$
Multiply $2$ times $0.5$
Multiply $2$ times $0.5$
Divide $1$ by $2$
Calculate the power $\sqrt{62.784}$
Removing the variable's exponent raising both sides of the equation to the power of $\frac{1}{2}$
The complete answer is
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