The formula to calculate the Displacement of a Body is:
\[ s_{body} = u \cdot t + \frac{a \cdot t^2}{2} \]
Where:
The Displacement of a Body is defined to be the change in position of an object.
The Initial Velocity is the velocity at which motion starts.
The Time Taken to Travel the Path is the total time taken by an object to reach its destination.
The Acceleration of a Body is the rate of change in velocity to the change in time.
Let's assume the following values:
Using the formula:
\[ s_{body} = 35 \cdot 6 + \frac{4.8 \cdot 6^2}{2} \]
Evaluating:
\[ s_{body} = 35 \cdot 6 + \frac{4.8 \cdot 6^2}{2} \]
The Displacement of the Body is approximately 296.4 Meter.
| Initial Velocity (Meter per Second) | Acceleration of Body (Meter per Square Second) | Time Taken to Travel the Path (Second) | Displacement of Body (Meter) |
|---|---|---|---|
| 30 | 4 | 5 | 200.000000000000000 |
| 30 | 4 | 6 | 252.000000000000000 |
| 30 | 4 | 7 | 308.000000000000000 |
| 30 | 4.2 | 5 | 202.500000000000000 |
| 30 | 4.2 | 6 | 255.600000000000023 |
| 30 | 4.2 | 7 | 312.899999999999977 |
| 30 | 4.4 | 5 | 205.000000000000000 |
| 30 | 4.4 | 6 | 259.199999999999989 |
| 30 | 4.4 | 7 | 317.800000000000011 |
| 30 | 4.6 | 5 | 207.500000000000000 |
| 30 | 4.6 | 6 | 262.800000000000011 |
| 30 | 4.6 | 7 | 322.700000000000045 |
| 30 | 4.8 | 5 | 210.000000000000000 |
| 30 | 4.8 | 6 | 266.399999999999977 |
| 30 | 4.8 | 7 | 327.600000000000023 |
| 32 | 4 | 5 | 210.000000000000000 |
| 32 | 4 | 6 | 264.000000000000000 |
| 32 | 4 | 7 | 322.000000000000000 |
| 32 | 4.2 | 5 | 212.500000000000000 |
| 32 | 4.2 | 6 | 267.600000000000023 |
| 32 | 4.2 | 7 | 326.899999999999977 |
| 32 | 4.4 | 5 | 215.000000000000000 |
| 32 | 4.4 | 6 | 271.199999999999989 |
| 32 | 4.4 | 7 | 331.800000000000011 |
| 32 | 4.6 | 5 | 217.500000000000000 |
| 32 | 4.6 | 6 | 274.800000000000011 |
| 32 | 4.6 | 7 | 336.700000000000045 |
| 32 | 4.8 | 5 | 220.000000000000000 |
| 32 | 4.8 | 6 | 278.399999999999977 |
| 32 | 4.8 | 7 | 341.600000000000023 |
| 34 | 4 | 5 | 220.000000000000000 |
| 34 | 4 | 6 | 276.000000000000000 |
| 34 | 4 | 7 | 336.000000000000000 |
| 34 | 4.2 | 5 | 222.500000000000000 |
| 34 | 4.2 | 6 | 279.600000000000023 |
| 34 | 4.2 | 7 | 340.899999999999977 |
| 34 | 4.4 | 5 | 225.000000000000000 |
| 34 | 4.4 | 6 | 283.199999999999989 |
| 34 | 4.4 | 7 | 345.800000000000011 |
| 34 | 4.6 | 5 | 227.500000000000000 |
| 34 | 4.6 | 6 | 286.800000000000011 |
| 34 | 4.6 | 7 | 350.700000000000045 |
| 34 | 4.8 | 5 | 230.000000000000000 |
| 34 | 4.8 | 6 | 290.399999999999977 |
| 34 | 4.8 | 7 | 355.600000000000023 |
| 36 | 4 | 5 | 230.000000000000000 |
| 36 | 4 | 6 | 288.000000000000000 |
| 36 | 4 | 7 | 350.000000000000000 |
| 36 | 4.2 | 5 | 232.500000000000000 |
| 36 | 4.2 | 6 | 291.600000000000023 |
| 36 | 4.2 | 7 | 354.899999999999977 |
| 36 | 4.4 | 5 | 235.000000000000000 |
| 36 | 4.4 | 6 | 295.199999999999989 |
| 36 | 4.4 | 7 | 359.800000000000011 |
| 36 | 4.6 | 5 | 237.500000000000000 |
| 36 | 4.6 | 6 | 298.800000000000011 |
| 36 | 4.6 | 7 | 364.700000000000045 |
| 36 | 4.8 | 5 | 240.000000000000000 |
| 36 | 4.8 | 6 | 302.399999999999977 |
| 36 | 4.8 | 7 | 369.600000000000023 |
| 38 | 4 | 5 | 240.000000000000000 |
| 38 | 4 | 6 | 300.000000000000000 |
| 38 | 4 | 7 | 364.000000000000000 |
| 38 | 4.2 | 5 | 242.500000000000000 |
| 38 | 4.2 | 6 | 303.600000000000023 |
| 38 | 4.2 | 7 | 368.899999999999977 |
| 38 | 4.4 | 5 | 245.000000000000000 |
| 38 | 4.4 | 6 | 307.199999999999989 |
| 38 | 4.4 | 7 | 373.800000000000011 |
| 38 | 4.6 | 5 | 247.500000000000000 |
| 38 | 4.6 | 6 | 310.800000000000011 |
| 38 | 4.6 | 7 | 378.700000000000045 |
| 38 | 4.8 | 5 | 250.000000000000000 |
| 38 | 4.8 | 6 | 314.399999999999977 |
| 38 | 4.8 | 7 | 383.600000000000023 |
| 40 | 4 | 5 | 250.000000000000000 |
| 40 | 4 | 6 | 312.000000000000000 |
| 40 | 4 | 7 | 378.000000000000000 |
| 40 | 4.2 | 5 | 252.500000000000000 |
| 40 | 4.2 | 6 | 315.600000000000023 |
| 40 | 4.2 | 7 | 382.899999999999977 |
| 40 | 4.4 | 5 | 255.000000000000000 |
| 40 | 4.4 | 6 | 319.199999999999989 |
| 40 | 4.4 | 7 | 387.800000000000011 |
| 40 | 4.6 | 5 | 257.500000000000000 |
| 40 | 4.6 | 6 | 322.800000000000011 |
| 40 | 4.6 | 7 | 392.700000000000045 |
| 40 | 4.8 | 5 | 260.000000000000000 |
| 40 | 4.8 | 6 | 326.399999999999977 |
| 40 | 4.8 | 7 | 397.600000000000023 |