Here, we show you a step-by-step solved example of free fall. This solution was automatically generated by our smart calculator:
What do we already know? We know the values for acceleration ($a$), initial velocity ($v_0$), distance ($y$), height ($y_0$) and want to calculate the value of time ($t$)
According to the initial data we have about the problem, the following formula would be the most useful to find the unknown ($t$) that we are looking for. We need to solve the equation below for $t$
We substitute the data of the problem in the formula and proceed to simplify the equation
Any expression multiplied by $0$ is equal to $0$
Add the values $0$ and $0$
Rearrange the equation
Divide both sides of the equation by $4.905$
Divide $20$ by $4.905$
Divide both sides of the equation by $4.905$
Take $\frac{4.905}{4.905}$ out of the fraction
Removing the variable's exponent raising both sides of the equation to the power of $\frac{1}{2}$
Divide $1$ by $2$
Simplify $\sqrt{t^2}$ 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 $\frac{1}{2}$
Multiply $2$ times $\frac{1}{2}$
Multiply $2$ times $\frac{1}{2}$
Divide $1$ by $2$
Calculate the power $\sqrt{4.077472}$
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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