Задача №27.22
Условие
Тело падает в воздухе без начальной скорости. Сопротивление воздуха R=k2pv2, где v — величина скорости тела, p — вес тела. Какова будет скорость тела по истечении времени t после начала движения? Каково предельное значение скорости?Решение
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1.1
1.2
1.3
1.4
1.5
2.1
2.2
2.3
2.4
2.5
2.6
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2.40
2.41
2.42
2.43
2.44
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2.47
2.48
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2.53
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2.55
3.1
3.2
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3.5
3.6
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4.1
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4.56
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4.74
5.1
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6.1
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9.1
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9.27
10.1
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11.1
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12.1
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13.1
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14.1
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15.1
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16.1
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17.1
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18.1
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19.1
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20.1
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22.1
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23.1
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23.48
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23.64
23.65
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23.71
24.1
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24.31
24.34
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25.1
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26.1
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26.35
27.1
27.2
27.3
27.4
27.5
27.6
27.7
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27.32
27.33
27.34
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27.36
27.37
27.38
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27.40
27.41
27.42
27.43
27.44
27.45
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27.47
27.48
27.49
27.50
27.51
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27.54
27.55
27.58
27.59
27.60
27.61
27.62
27.63
27.64
27.65
28.1
28.2
28.3
28.4
28.5
28.6
28.7
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29.1
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29.3
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30.1
30.2
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30.4
30.5
30.6
30.7
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31.1
31.2
31.3
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31.5
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31.11
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31.18
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31.25
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31.29
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31.31
31.32
31.33
31.34
31.35
32.1
32.2
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32.11
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32.13
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32.16
32.17
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32.22
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32.24
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32.26
32.27
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32.31
32.32
32.33
32.34
32.35
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32.37
32.38
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32.40
32.41
32.42
32.43
32.44
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32.46
32.47
32.48
32.49
32.50
32.51
32.52
32.53
32.54
32.55
32.56
32.57
32.58
32.59
32.60
32.61
32.62
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32.64
32.65
32.66
32.67
32.68
32.69
32.70
32.71
32.72
32.73
32.74
32.75
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32.77
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32.81
32.82
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32.84
32.85
32.86
32.87
32.88
32.89
32.90
32.91
32.92
32.93
32.94
32.95
32.96
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32.98
32.99
32.100
32.101
32.102
32.103
32.104
32.105
32.106
32.107
33.1
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34.1
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34.6
34.7
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34.12
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34.31
35.1
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36.1
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37.1
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37.59
38.1
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39.1
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40.1
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41.1
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42.1
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43.1
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44.1
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45.3
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46.1
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47.1
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48.1
48.5
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49.1
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53.5
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54.1
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55.2
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56.3
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56.9