The formula to calculate the Final Velocity of a Body is:
\[ v_f = u + a \cdot t \]
Where:
The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.
The Initial Velocity is the velocity at which motion starts.
The Acceleration of a Body is the rate of change in velocity to the change in time.
The Time Taken to Travel the Path is the total time taken by an object to reach its destination.
Let's assume the following values:
Using the formula:
\[ v_f = 35 + 4.8 \cdot 6 \]
Evaluating:
\[ v_f = 35 + 4.8 \cdot 6 \]
The Final Velocity is approximately 63.8 Meter per Second.
| Initial Velocity (Meter per Second) | Acceleration of Body (Meter per Square Second) | Time Taken to Travel the Path (Second) | Final Velocity (Meter per Second) |
|---|---|---|---|
| 30 | 4 | 5 | 50.000000000000000 |
| 30 | 4 | 6 | 54.000000000000000 |
| 30 | 4 | 7 | 58.000000000000000 |
| 30 | 4.2 | 5 | 51.000000000000000 |
| 30 | 4.2 | 6 | 55.200000000000003 |
| 30 | 4.2 | 7 | 59.400000000000006 |
| 30 | 4.4 | 5 | 52.000000000000000 |
| 30 | 4.4 | 6 | 56.400000000000006 |
| 30 | 4.4 | 7 | 60.800000000000004 |
| 30 | 4.6 | 5 | 53.000000000000000 |
| 30 | 4.6 | 6 | 57.600000000000001 |
| 30 | 4.6 | 7 | 62.200000000000003 |
| 30 | 4.8 | 5 | 54.000000000000000 |
| 30 | 4.8 | 6 | 58.800000000000004 |
| 30 | 4.8 | 7 | 63.600000000000009 |
| 32 | 4 | 5 | 52.000000000000000 |
| 32 | 4 | 6 | 56.000000000000000 |
| 32 | 4 | 7 | 60.000000000000000 |
| 32 | 4.2 | 5 | 53.000000000000000 |
| 32 | 4.2 | 6 | 57.200000000000003 |
| 32 | 4.2 | 7 | 61.400000000000006 |
| 32 | 4.4 | 5 | 54.000000000000000 |
| 32 | 4.4 | 6 | 58.400000000000006 |
| 32 | 4.4 | 7 | 62.800000000000004 |
| 32 | 4.6 | 5 | 55.000000000000000 |
| 32 | 4.6 | 6 | 59.600000000000001 |
| 32 | 4.6 | 7 | 64.200000000000003 |
| 32 | 4.8 | 5 | 56.000000000000000 |
| 32 | 4.8 | 6 | 60.800000000000004 |
| 32 | 4.8 | 7 | 65.600000000000009 |
| 34 | 4 | 5 | 54.000000000000000 |
| 34 | 4 | 6 | 58.000000000000000 |
| 34 | 4 | 7 | 62.000000000000000 |
| 34 | 4.2 | 5 | 55.000000000000000 |
| 34 | 4.2 | 6 | 59.200000000000003 |
| 34 | 4.2 | 7 | 63.400000000000006 |
| 34 | 4.4 | 5 | 56.000000000000000 |
| 34 | 4.4 | 6 | 60.400000000000006 |
| 34 | 4.4 | 7 | 64.800000000000011 |
| 34 | 4.6 | 5 | 57.000000000000000 |
| 34 | 4.6 | 6 | 61.600000000000001 |
| 34 | 4.6 | 7 | 66.200000000000003 |
| 34 | 4.8 | 5 | 58.000000000000000 |
| 34 | 4.8 | 6 | 62.800000000000004 |
| 34 | 4.8 | 7 | 67.600000000000009 |
| 36 | 4 | 5 | 56.000000000000000 |
| 36 | 4 | 6 | 60.000000000000000 |
| 36 | 4 | 7 | 64.000000000000000 |
| 36 | 4.2 | 5 | 57.000000000000000 |
| 36 | 4.2 | 6 | 61.200000000000003 |
| 36 | 4.2 | 7 | 65.400000000000006 |
| 36 | 4.4 | 5 | 58.000000000000000 |
| 36 | 4.4 | 6 | 62.400000000000006 |
| 36 | 4.4 | 7 | 66.800000000000011 |
| 36 | 4.6 | 5 | 59.000000000000000 |
| 36 | 4.6 | 6 | 63.600000000000001 |
| 36 | 4.6 | 7 | 68.200000000000003 |
| 36 | 4.8 | 5 | 60.000000000000000 |
| 36 | 4.8 | 6 | 64.800000000000011 |
| 36 | 4.8 | 7 | 69.600000000000009 |
| 38 | 4 | 5 | 58.000000000000000 |
| 38 | 4 | 6 | 62.000000000000000 |
| 38 | 4 | 7 | 66.000000000000000 |
| 38 | 4.2 | 5 | 59.000000000000000 |
| 38 | 4.2 | 6 | 63.200000000000003 |
| 38 | 4.2 | 7 | 67.400000000000006 |
| 38 | 4.4 | 5 | 60.000000000000000 |
| 38 | 4.4 | 6 | 64.400000000000006 |
| 38 | 4.4 | 7 | 68.800000000000011 |
| 38 | 4.6 | 5 | 61.000000000000000 |
| 38 | 4.6 | 6 | 65.599999999999994 |
| 38 | 4.6 | 7 | 70.200000000000003 |
| 38 | 4.8 | 5 | 62.000000000000000 |
| 38 | 4.8 | 6 | 66.800000000000011 |
| 38 | 4.8 | 7 | 71.600000000000009 |
| 40 | 4 | 5 | 60.000000000000000 |
| 40 | 4 | 6 | 64.000000000000000 |
| 40 | 4 | 7 | 68.000000000000000 |
| 40 | 4.2 | 5 | 61.000000000000000 |
| 40 | 4.2 | 6 | 65.200000000000003 |
| 40 | 4.2 | 7 | 69.400000000000006 |
| 40 | 4.4 | 5 | 62.000000000000000 |
| 40 | 4.4 | 6 | 66.400000000000006 |
| 40 | 4.4 | 7 | 70.800000000000011 |
| 40 | 4.6 | 5 | 63.000000000000000 |
| 40 | 4.6 | 6 | 67.599999999999994 |
| 40 | 4.6 | 7 | 72.200000000000003 |
| 40 | 4.8 | 5 | 64.000000000000000 |
| 40 | 4.8 | 6 | 68.800000000000011 |
| 40 | 4.8 | 7 | 73.600000000000009 |