Initial Height Calculator

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

Enter any 3 values to calculate the missing variable

Enter the total final height in meters.

Enter the velocity in meters per second.

Enter the time in seconds.

Enter the initial height in meters to calculate the final height.


How to calculate Initial Height

Calculation Formula

The formula used by the calculator is:

Hi=Hf+V×t+0.5×g×t2

Variables

Variable Description Unit
Hi

 

Initial Height meters
Hf

 

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

 

θ

 

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
  1. Enter 5 in the Final Height field.
  2. Enter 10 in the Velocity field.
  3. Enter 2 in the Time field.

The formula used by the calculator is:

Hi=Hf+V×t+0.5×g×t2

Now, let’s plug in the values:

Hi=5+10×2+0.5×9.80665×22

Calculate step-by-step:

  1. 10×2=20
  2. 0.5×9.80665×4=19.6133
  3. Hi=5+20+19.6133=44.6133meters

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
  1. Enter 10 in the Final Height field.
  2. Enter 15 in the Velocity field.
  3. Enter 3 in the Time field.
  4. Enter 30 in the Angle of Projection field.

The formula used in the advanced calculator is:

Hi=Hf+V×sin(θ)×t+0.5×g×t2
Now, let’s plug in the values:
Hi=10+15×sin(30)×3+0.5×9.80665×32

Calculate step-by-step:

  1. sin(30)=0.5
  2. 15×0.5×3=22.5
  3. 0.5×9.80665×9=44.13
  4. Hi=10+22.5+44.13=76.63meters

So, the initial height is approximately 76.63 meters.

 

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