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
Multiply the fraction and term in $9.81\cdot \left(\frac{1}{2}\right)t^2$
Multiply $9.81$ times $1$
Multiply the fraction and term in $9.81\cdot \left(\frac{1}{2}\right)t^2$
Any expression multiplied by $0$ is equal to $0$
$x+0=x$, where $x$ is any expression
Rearrange the equation
Multiply both sides of the equation by $2$
Multiply $20$ times $2$
Multiply both sides of the equation by $2$
Divide both sides of the equation by $9.81$
Simplify the fraction $\frac{9.81t^2}{9.81}$ by $9.81$
Divide both sides of the equation by $9.81$
Removing the variable's exponent
Cancel exponents $2$ and $1$
The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
The complete answer is
Access detailed step by step solutions to thousands of problems, growing every day!
Most popular problems solved with this calculator: