Displacement of Body given Initial Velocity Final Velocity and Acceleration Calculator

Calculate Displacement of Body







Formula

The formula to calculate Displacement of Body (sbody) is:

\[ sbody = \frac{vf^2 - u^2}{2 \cdot a} \]

Where:

Definition

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.

How to calculate Displacement of Body given Initial Velocity, Final Velocity, and Acceleration

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.

Displacement of Body Conversion Chart

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