The formula to calculate Displacement of Body (sbody) is:
\[ sbody = \frac{vf^2 - u^2}{2 \cdot a} \]
Where:
The Displacement of Body is defined to be the change in position of an object.
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 Body is the rate of change in velocity to the change in time.
Let's assume the following values:
Using the formula:
\[ sbody = \frac{vf^2 - u^2}{2 \cdot a} \]
Evaluating:
\[ sbody = \frac{40^2 - 35^2}{2 \cdot 4.8} \]
The Displacement of Body is 39.0625.
Initial Velocity (u) | Final Velocity (vf) | Acceleration of Body (a) | Displacement of Body (sbody) |
---|---|---|---|
30 | 35 | 4 | 40.625000000000000 |
30 | 35 | 4.2 | 38.690476190476190 |
30 | 35 | 4.4 | 36.931818181818180 |
30 | 35 | 4.6 | 35.326086956521735 |
30 | 35 | 4.8 | 33.854166666666664 |
30 | 37 | 4 | 58.625000000000000 |
30 | 37 | 4.2 | 55.833333333333329 |
30 | 37 | 4.4 | 53.295454545454540 |
30 | 37 | 4.6 | 50.978260869565212 |
30 | 37 | 4.8 | 48.854166666666657 |
30 | 39 | 4 | 77.625000000000000 |
30 | 39 | 4.2 | 73.928571428571431 |
30 | 39 | 4.4 | 70.568181818181813 |
30 | 39 | 4.6 | 67.499999999999986 |
30 | 39 | 4.8 | 64.687499999999986 |
30 | 41 | 4 | 97.625000000000000 |
30 | 41 | 4.2 | 92.976190476190467 |
30 | 41 | 4.4 | 88.749999999999986 |
30 | 41 | 4.6 | 84.891304347826079 |
30 | 41 | 4.8 | 81.354166666666657 |
30 | 43 | 4 | 118.625000000000000 |
30 | 43 | 4.2 | 112.976190476190467 |
30 | 43 | 4.4 | 107.840909090909079 |
30 | 43 | 4.6 | 103.152173913043470 |
30 | 43 | 4.8 | 98.854166666666657 |
30 | 45 | 4 | 140.625000000000000 |
30 | 45 | 4.2 | 133.928571428571416 |
30 | 45 | 4.4 | 127.840909090909079 |
30 | 45 | 4.6 | 122.282608695652158 |
30 | 45 | 4.8 | 117.187499999999986 |
32 | 35 | 4 | 25.125000000000000 |
32 | 35 | 4.2 | 23.928571428571427 |
32 | 35 | 4.4 | 22.840909090909090 |
32 | 35 | 4.6 | 21.847826086956520 |
32 | 35 | 4.8 | 20.937499999999996 |
32 | 37 | 4 | 43.125000000000000 |
32 | 37 | 4.2 | 41.071428571428569 |
32 | 37 | 4.4 | 39.204545454545453 |
32 | 37 | 4.6 | 37.499999999999993 |
32 | 37 | 4.8 | 35.937499999999993 |
32 | 39 | 4 | 62.125000000000000 |
32 | 39 | 4.2 | 59.166666666666664 |
32 | 39 | 4.4 | 56.477272727272720 |
32 | 39 | 4.6 | 54.021739130434774 |
32 | 39 | 4.8 | 51.770833333333329 |
32 | 41 | 4 | 82.125000000000000 |
32 | 41 | 4.2 | 78.214285714285708 |
32 | 41 | 4.4 | 74.659090909090907 |
32 | 41 | 4.6 | 71.413043478260860 |
32 | 41 | 4.8 | 68.437499999999986 |
32 | 43 | 4 | 103.125000000000000 |
32 | 43 | 4.2 | 98.214285714285708 |
32 | 43 | 4.4 | 93.749999999999986 |
32 | 43 | 4.6 | 89.673913043478251 |
32 | 43 | 4.8 | 85.937499999999986 |
32 | 45 | 4 | 125.125000000000000 |
32 | 45 | 4.2 | 119.166666666666657 |
32 | 45 | 4.4 | 113.749999999999986 |
32 | 45 | 4.6 | 108.804347826086939 |
32 | 45 | 4.8 | 104.270833333333314 |
34 | 35 | 4 | 8.625000000000000 |
34 | 35 | 4.2 | 8.214285714285714 |
34 | 35 | 4.4 | 7.840909090909090 |
34 | 35 | 4.6 | 7.499999999999999 |
34 | 35 | 4.8 | 7.187499999999999 |
34 | 37 | 4 | 26.625000000000000 |
34 | 37 | 4.2 | 25.357142857142858 |
34 | 37 | 4.4 | 24.204545454545453 |
34 | 37 | 4.6 | 23.152173913043477 |
34 | 37 | 4.8 | 22.187499999999996 |
34 | 39 | 4 | 45.625000000000000 |
34 | 39 | 4.2 | 43.452380952380949 |
34 | 39 | 4.4 | 41.477272727272727 |
34 | 39 | 4.6 | 39.673913043478258 |
34 | 39 | 4.8 | 38.020833333333329 |
34 | 41 | 4 | 65.625000000000000 |
34 | 41 | 4.2 | 62.500000000000000 |
34 | 41 | 4.4 | 59.659090909090907 |
34 | 41 | 4.6 | 57.065217391304344 |
34 | 41 | 4.8 | 54.687499999999993 |
34 | 43 | 4 | 86.625000000000000 |
34 | 43 | 4.2 | 82.500000000000000 |
34 | 43 | 4.4 | 78.750000000000000 |
34 | 43 | 4.6 | 75.326086956521735 |
34 | 43 | 4.8 | 72.187499999999986 |
34 | 45 | 4 | 108.625000000000000 |
34 | 45 | 4.2 | 103.452380952380949 |
34 | 45 | 4.4 | 98.749999999999986 |
34 | 45 | 4.6 | 94.456521739130423 |
34 | 45 | 4.8 | 90.520833333333314 |
36 | 35 | 4 | -8.875000000000000 |
36 | 35 | 4.2 | -8.452380952380953 |
36 | 35 | 4.4 | -8.068181818181818 |
36 | 35 | 4.6 | -7.717391304347825 |
36 | 35 | 4.8 | -7.395833333333332 |
36 | 37 | 4 | 9.125000000000000 |
36 | 37 | 4.2 | 8.690476190476190 |
36 | 37 | 4.4 | 8.295454545454545 |
36 | 37 | 4.6 | 7.934782608695651 |
36 | 37 | 4.8 | 7.604166666666665 |
36 | 39 | 4 | 28.125000000000000 |
36 | 39 | 4.2 | 26.785714285714285 |
36 | 39 | 4.4 | 25.568181818181817 |
36 | 39 | 4.6 | 24.456521739130434 |
36 | 39 | 4.8 | 23.437499999999996 |
36 | 41 | 4 | 48.125000000000000 |
36 | 41 | 4.2 | 45.833333333333329 |
36 | 41 | 4.4 | 43.750000000000000 |
36 | 41 | 4.6 | 41.847826086956516 |
36 | 41 | 4.8 | 40.104166666666657 |
36 | 43 | 4 | 69.125000000000000 |
36 | 43 | 4.2 | 65.833333333333329 |
36 | 43 | 4.4 | 62.840909090909086 |
36 | 43 | 4.6 | 60.108695652173907 |
36 | 43 | 4.8 | 57.604166666666657 |
36 | 45 | 4 | 91.125000000000000 |
36 | 45 | 4.2 | 86.785714285714278 |
36 | 45 | 4.4 | 82.840909090909079 |
36 | 45 | 4.6 | 79.239130434782595 |
36 | 45 | 4.8 | 75.937499999999986 |
38 | 35 | 4 | -27.375000000000000 |
38 | 35 | 4.2 | -26.071428571428569 |
38 | 35 | 4.4 | -24.886363636363633 |
38 | 35 | 4.6 | -23.804347826086953 |
38 | 35 | 4.8 | -22.812499999999996 |
38 | 37 | 4 | -9.375000000000000 |
38 | 37 | 4.2 | -8.928571428571429 |
38 | 37 | 4.4 | -8.522727272727272 |
38 | 37 | 4.6 | -8.152173913043477 |
38 | 37 | 4.8 | -7.812499999999999 |
38 | 39 | 4 | 9.625000000000000 |
38 | 39 | 4.2 | 9.166666666666666 |
38 | 39 | 4.4 | 8.750000000000000 |
38 | 39 | 4.6 | 8.369565217391303 |
38 | 39 | 4.8 | 8.020833333333332 |
38 | 41 | 4 | 29.625000000000000 |
38 | 41 | 4.2 | 28.214285714285712 |
38 | 41 | 4.4 | 26.931818181818180 |
38 | 41 | 4.6 | 25.760869565217387 |
38 | 41 | 4.8 | 24.687499999999996 |
38 | 43 | 4 | 50.625000000000000 |
38 | 43 | 4.2 | 48.214285714285715 |
38 | 43 | 4.4 | 46.022727272727266 |
38 | 43 | 4.6 | 44.021739130434774 |
38 | 43 | 4.8 | 42.187499999999993 |
38 | 45 | 4 | 72.625000000000000 |
38 | 45 | 4.2 | 69.166666666666657 |
38 | 45 | 4.4 | 66.022727272727266 |
38 | 45 | 4.6 | 63.152173913043470 |
38 | 45 | 4.8 | 60.520833333333321 |
40 | 35 | 4 | -46.875000000000000 |
40 | 35 | 4.2 | -44.642857142857139 |
40 | 35 | 4.4 | -42.613636363636360 |
40 | 35 | 4.6 | -40.760869565217384 |
40 | 35 | 4.8 | -39.062499999999993 |
40 | 37 | 4 | -28.875000000000000 |
40 | 37 | 4.2 | -27.500000000000000 |
40 | 37 | 4.4 | -26.249999999999996 |
40 | 37 | 4.6 | -25.108695652173910 |
40 | 37 | 4.8 | -24.062499999999996 |
40 | 39 | 4 | -9.875000000000000 |
40 | 39 | 4.2 | -9.404761904761905 |
40 | 39 | 4.4 | -8.977272727272727 |
40 | 39 | 4.6 | -8.586956521739129 |
40 | 39 | 4.8 | -8.229166666666666 |
40 | 41 | 4 | 10.125000000000000 |
40 | 41 | 4.2 | 9.642857142857142 |
40 | 41 | 4.4 | 9.204545454545453 |
40 | 41 | 4.6 | 8.804347826086955 |
40 | 41 | 4.8 | 8.437499999999998 |
40 | 43 | 4 | 31.125000000000000 |
40 | 43 | 4.2 | 29.642857142857142 |
40 | 43 | 4.4 | 28.295454545454543 |
40 | 43 | 4.6 | 27.065217391304344 |
40 | 43 | 4.8 | 25.937499999999996 |
40 | 45 | 4 | 53.125000000000000 |
40 | 45 | 4.2 | 50.595238095238095 |
40 | 45 | 4.4 | 48.295454545454540 |
40 | 45 | 4.6 | 46.195652173913039 |
40 | 45 | 4.8 | 44.270833333333329 |