The formula to calculate the Acceleration (a) is:
\[ a = \frac{\Delta v}{t_{total}} \]
Where:
Acceleration is the rate of change in velocity to the change in time.
Change in Velocity is the change in speed, or a change in direction, or a change in both speed and direction of an object.
Total Time Taken refers to the overall duration required to complete a task, journey, or process.
Let's assume the following values:
Using the formula:
\[ a = \frac{\Delta v}{t_{total}} \]
Evaluating:
\[ a = \frac{251}{20} \]
The Acceleration is 12.55 m/s².
| Change in Velocity (m/s) | Total Time Taken (seconds) | Acceleration (m/s²) |
|---|---|---|
| 200 | 15 | 13.333333333333334 |
| 200 | 16 | 12.500000000000000 |
| 200 | 17 | 11.764705882352942 |
| 200 | 18 | 11.111111111111111 |
| 200 | 19 | 10.526315789473685 |
| 200 | 20 | 10.000000000000000 |
| 200 | 21 | 9.523809523809524 |
| 200 | 22 | 9.090909090909092 |
| 200 | 23 | 8.695652173913043 |
| 200 | 24 | 8.333333333333334 |
| 200 | 25 | 8.000000000000000 |
| 210 | 15 | 14.000000000000000 |
| 210 | 16 | 13.125000000000000 |
| 210 | 17 | 12.352941176470589 |
| 210 | 18 | 11.666666666666666 |
| 210 | 19 | 11.052631578947368 |
| 210 | 20 | 10.500000000000000 |
| 210 | 21 | 10.000000000000000 |
| 210 | 22 | 9.545454545454545 |
| 210 | 23 | 9.130434782608695 |
| 210 | 24 | 8.750000000000000 |
| 210 | 25 | 8.400000000000000 |
| 220 | 15 | 14.666666666666666 |
| 220 | 16 | 13.750000000000000 |
| 220 | 17 | 12.941176470588236 |
| 220 | 18 | 12.222222222222221 |
| 220 | 19 | 11.578947368421053 |
| 220 | 20 | 11.000000000000000 |
| 220 | 21 | 10.476190476190476 |
| 220 | 22 | 10.000000000000000 |
| 220 | 23 | 9.565217391304348 |
| 220 | 24 | 9.166666666666666 |
| 220 | 25 | 8.800000000000001 |
| 230 | 15 | 15.333333333333334 |
| 230 | 16 | 14.375000000000000 |
| 230 | 17 | 13.529411764705882 |
| 230 | 18 | 12.777777777777779 |
| 230 | 19 | 12.105263157894736 |
| 230 | 20 | 11.500000000000000 |
| 230 | 21 | 10.952380952380953 |
| 230 | 22 | 10.454545454545455 |
| 230 | 23 | 10.000000000000000 |
| 230 | 24 | 9.583333333333334 |
| 230 | 25 | 9.199999999999999 |
| 240 | 15 | 16.000000000000000 |
| 240 | 16 | 15.000000000000000 |
| 240 | 17 | 14.117647058823529 |
| 240 | 18 | 13.333333333333334 |
| 240 | 19 | 12.631578947368421 |
| 240 | 20 | 12.000000000000000 |
| 240 | 21 | 11.428571428571429 |
| 240 | 22 | 10.909090909090908 |
| 240 | 23 | 10.434782608695652 |
| 240 | 24 | 10.000000000000000 |
| 240 | 25 | 9.600000000000000 |
| 250 | 15 | 16.666666666666668 |
| 250 | 16 | 15.625000000000000 |
| 250 | 17 | 14.705882352941176 |
| 250 | 18 | 13.888888888888889 |
| 250 | 19 | 13.157894736842104 |
| 250 | 20 | 12.500000000000000 |
| 250 | 21 | 11.904761904761905 |
| 250 | 22 | 11.363636363636363 |
| 250 | 23 | 10.869565217391305 |
| 250 | 24 | 10.416666666666666 |
| 250 | 25 | 10.000000000000000 |
| 260 | 15 | 17.333333333333332 |
| 260 | 16 | 16.250000000000000 |
| 260 | 17 | 15.294117647058824 |
| 260 | 18 | 14.444444444444445 |
| 260 | 19 | 13.684210526315789 |
| 260 | 20 | 13.000000000000000 |
| 260 | 21 | 12.380952380952381 |
| 260 | 22 | 11.818181818181818 |
| 260 | 23 | 11.304347826086957 |
| 260 | 24 | 10.833333333333334 |
| 260 | 25 | 10.400000000000000 |
| 270 | 15 | 18.000000000000000 |
| 270 | 16 | 16.875000000000000 |
| 270 | 17 | 15.882352941176471 |
| 270 | 18 | 15.000000000000000 |
| 270 | 19 | 14.210526315789474 |
| 270 | 20 | 13.500000000000000 |
| 270 | 21 | 12.857142857142858 |
| 270 | 22 | 12.272727272727273 |
| 270 | 23 | 11.739130434782609 |
| 270 | 24 | 11.250000000000000 |
| 270 | 25 | 10.800000000000001 |
| 280 | 15 | 18.666666666666668 |
| 280 | 16 | 17.500000000000000 |
| 280 | 17 | 16.470588235294116 |
| 280 | 18 | 15.555555555555555 |
| 280 | 19 | 14.736842105263158 |
| 280 | 20 | 14.000000000000000 |
| 280 | 21 | 13.333333333333334 |
| 280 | 22 | 12.727272727272727 |
| 280 | 23 | 12.173913043478262 |
| 280 | 24 | 11.666666666666666 |
| 280 | 25 | 11.199999999999999 |
| 290 | 15 | 19.333333333333332 |
| 290 | 16 | 18.125000000000000 |
| 290 | 17 | 17.058823529411764 |
| 290 | 18 | 16.111111111111111 |
| 290 | 19 | 15.263157894736842 |
| 290 | 20 | 14.500000000000000 |
| 290 | 21 | 13.809523809523810 |
| 290 | 22 | 13.181818181818182 |
| 290 | 23 | 12.608695652173912 |
| 290 | 24 | 12.083333333333334 |
| 290 | 25 | 11.600000000000000 |
| 300 | 15 | 20.000000000000000 |
| 300 | 16 | 18.750000000000000 |
| 300 | 17 | 17.647058823529413 |
| 300 | 18 | 16.666666666666668 |
| 300 | 19 | 15.789473684210526 |
| 300 | 20 | 15.000000000000000 |
| 300 | 21 | 14.285714285714286 |
| 300 | 22 | 13.636363636363637 |
| 300 | 23 | 13.043478260869565 |
| 300 | 24 | 12.500000000000000 |
| 300 | 25 | 12.000000000000000 |