How to find the starting height from which an object begins its descent or projection? The answer is a few steps away from you, enter you r values like final height, velocity time in seconds into the following calculator to determine the initial heights in meters.
Initial Height Calculator
Calculation Formula
The formula used by the calculator is:
$${H}_{i}={H}_{f}+V\times t+0.5\times g\times {t}^{2}$$
Variables
Variable  Description  Unit 

${H}_{i}$

Initial Height  meters 
${H}_{f}$

Final Height  meters 
$V$

Velocity  meters per second (m/s) 
$t$

Time  seconds 
$g$

Acceleration due to gravity  meters per second squared (m/s${}^{2}$

$\theta $

Angle of Projection (Advanced only)  degrees 
How to Use Calculator to Calculate Initial Height
The Initial Height Calculator has two modes: Basic and Advanced. Here’s how to use each mode.
1. Basic Mode Calculator
In the Basic Calculator, you can calculate the initial height using the following input fields:
 Final Height (meters): The height at which the object ends up.
 Velocity (meters per second): The initial speed of the object.
 Time (seconds): The duration for which the object has been falling or moving.
 Initial Height (meters): The starting height, which you want to calculate.
Example Calculation 1
Let’s say you have the following values:
 Final Height: 5 meters
 Velocity: 10 meters per second
 Time: 2 seconds
 Enter
5
in the Final Height field.  Enter
10
in the Velocity field.  Enter
2
in the Time field.
The formula used by the calculator is:
$${H}_{i}={H}_{f}+V\times t+0.5\times g\times {t}^{2}$$
Now, let’s plug in the values:
$${H}_{i}=5+10\times 2+0.5\times 9.80665\times {2}^{2}$$
Calculate stepbystep:

$10\times 2=20$

$0.5\times 9.80665\times 4=19.6133$

${H}_{i}=5+20+19.6133=44.6133\text{\hspace{0.17em}}\text{meters}$
So, the initial height is approximately 44.61 meters.
2. Advanced Calculator
In the Advanced Calculator, you can also take into account the angle of projection. The input fields for this mode are:
 Final Height (meters): The height at which the object lands or stops.
 Velocity (meters per second): The initial speed of the object.
 Time (seconds): The duration of the motion.
 Angle of Projection (degrees): The angle at which the object is projected.
 Initial Height (meters): The starting height, which you want to calculate.
Example Calculation 2
Consider the following scenario:
 Final Height: 10 meters
 Velocity: 15 meters per second
 Time: 3 seconds
 Angle of Projection: 30 degrees
 Enter
10
in the Final Height field.  Enter
15
in the Velocity field.  Enter
3
in the Time field.  Enter
30
in the Angle of Projection field.
The formula used in the advanced calculator is:
$${H}_{i}={H}_{f}+V\times \mathrm{sin}(\theta )\times t+0.5\times g\times {t}^{2}$$
$${H}_{i}=10+15\times \mathrm{sin}(3{0}^{\circ})\times 3+0.5\times 9.80665\times {3}^{2}$$
Calculate stepbystep:

$\mathrm{sin}(3{0}^{\circ})=0.5$

$15\times 0.5\times 3=22.5$

$0.5\times 9.80665\times 9=44.13$

${H}_{i}=10+22.5+44.13=76.63\text{\hspace{0.17em}}\text{meters}$
So, the initial height is approximately 76.63 meters.