3.6 Çàâäàííÿ íà ÑÐÑ
3.6.1. Ïî òðóáîïðîâîäó ïîäàºòüñÿ
Âèçíà÷èòè ä³àìåòð òðóáîïðîâîäó, ÿêùî øâèäê³ñòü âîäè äîð³âíþº 2 ì/ñ.
³äïîâ³äü: d = 0,445 ì.
3.6.2. Îäåðæàòè âèðàç äëÿ ïðîåêö³é ëîêàëüíèõ ïðèñêîðåíü ð³äèííî¿ ÷àñòèíêè, ÿêùî ð³âíÿííÿ ðóõó ìàþòü âèãëÿä 
³äïîâ³äü:
3.6.3. Âèçíà÷èòè ïðèñêîðåííÿ ð³äèííî¿ ÷àñòèíêè, ÿêùî ïîëå çàäàíî ïðîåêö³ÿìè øâèäêîñòåé:
³äïîâ³äü: 
3.6.4. Âèçíà÷èòè ïðèñêîðåííÿ ð³äèííî¿ ÷àñòèíêè â òî÷ö³ ïðîñòîðó ç êîîðäèíàòàìè õ = 3, ó = 2, z = 1, ÿêùî ïîëå çàäàíî ïðîåêö³ÿìè øâèäêîñòåé

³äïîâ³äü:
3.6.5. Ðóõ íåñòèñëèâî¿ ð³äèíè çàäàíèé ïðîåêö³ÿìè øâèäêîñòåé
Âñòàíîâèòè âèãëÿä âèðàçó äëÿ ïðîåêö³¿ øâèäêîñò³ íà â³ñü õ, ÿêùî íà ïî÷àòêó êîîðäèíàòè u = 2.
³äïîâ³äü: u = õ + 2.
3.6.6. Ðóõ çàäàíî ïðîåêö³ÿìè øâèäêîñòåé
Çíàéòè ð³âíÿííÿ ë³í³¿ òîêó, à òàêîæ òðàºêòîð³þ ÷àñòèíêè, ÿêà ïðîõîäèòü â ìîìåíò ÷àñó t=0 ÷åðåç òî÷êó ïðîñòîðó ç êîîðäèíàòàìè õ = a, y = b.
³äïîâ³äü: Ðóõ ÷àñòèíîê â³äáóâàºòüñÿ ïî åë³ïñó
äå ë³í³ÿ 
3.6.7. Ïåðåâ³ðèòè ìîæëèâ³ñòü ³ñíóâàííÿ ðóõó íåñòèñëèâî¿ ð³äèíè äëÿ ïîëÿ, ÿêå çàäàíå ïðîåêö³ÿìè øâèäêîñòåé 
³äïîâ³äü: Ðóõ ìîæëèâèé.
3.6.8. Âèçíà÷èòè øâèäê³ñòü îáåðòàííÿ ð³äèííî¿ ÷àñòèíêè â òî÷ö³ ïðîñòîðó ç êîîðäèíàòàìè x = 3, y = 2, z = 0, ÿêùî ïîëå çàäàíî ïðîåêö³ÿìè øâèäêîñòåé u = 2xy, V = 4yz, w = 2xz.
³äïîâ³äü: 
3.6.9. Îäåðæàòè âèðàç äëÿ ë³í³¿ òîêó, ÿêùî ïðîåêö³¿ øâèäêîñòåé
u = xy, V = -2x(x–1).
³äïîâ³äü:
Ë³í³¿ òîêó åë³ïñè, â³ñ³ ÿêèõ ïåðåòèíàþòüñÿ â òî÷ö³ (1, 0).
3.6.10. Çíàéòè ð³âíÿííÿ äëÿ ë³í³¿ òîêó, ÿêà ïðîõîäèòü ÷åðåç òî÷êó ç êîîðäèíàòàìè x=1, y=-1, z=2, ÿêùî ïðîåêö³¿ øâèäêîñòåé u=x, V=-y, w=-2z.
³äïîâ³äü: 
3.6.11. ×è ìîæå ïîëå øâèäêîñòåé íåñòèñëèâî¿ ð³äèíè ìàòè ïîòåíö³àëè, ÿêùî: 
³äïîâ³äü:
Ë³í³¿ òîêó - êîíöåíòðè÷í³ êîëà, ÿê³ â³äïîâ³äàþòü ïîòåíö³àëüíîìó âèõîðó.
3.6.12. Çíàéòè ð³âíÿííÿ ë³í³¿ òîêó, à òàêîæ òðàºêòîð³þ ÷àñòèíêè, ÿêà ïðîõîäèòü â ìîìåíò ÷àñó t = 0 ÷åðåç òî÷êó ïðîñòîðó ç êîîðäèíàòàìè õ = ñ ³ ó = d, ÿêùî ïîëå øâèäêîñòåé ãàçó çàäàíî ïðîåêö³ÿìè 
Îñòàííÿ öèôðà øèôðó |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
à |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
3 |
4 |
b |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
2 |
Ïåðåäîñòàííÿ öèôðà øèôðó |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
c |
3 |
5 |
7 |
9 |
8 |
7 |
6 |
5 |
4 |
3 |
d |
4 |
6 |
8 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
3.6.13. Âèçíà÷èòè ïðèñêîðåííÿ ð³äèííî¿ ÷àñòèíêè â òî÷ö³ À ç êîîðäèíàòàìè õ = d, ó = e, z = g â ìîìåíò ÷àñó t ïî çàäàíèõ ïðîåêö³ÿõ øâèäêîñòåé
Îñòàííÿ öèôðà øèôðó |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
à |
1 |
2 |
3 |
4 |
1 |
2 |
3 |
4 |
5 |
6 |
b |
3 |
1 |
2 |
2 |
4 |
5 |
4 |
3 |
2 |
1 |
c |
2 |
3 |
5 |
6 |
3 |
3 |
5 |
2 |
3 |
4 |
Ïåðåäîñòàííÿ öèôðà øèôðó |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
d |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
e |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
2 |
4 |
g |
2 |
3 |
4 |
6 |
3 |
4 |
5 |
4 |
5 |
7 |
t |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3.6.14. Âèçíà÷èòè øâèäê³ñòü ðóõó ð³äèíè çà âåëè÷èíîþ òà íàïðÿìîì â òî÷ö³ Ì ç êîîðäèíàòàìè õ, ó, ÿêùî ðóõ º ðåçóëüòàòîì ñêëàäàííÿ äâîõ òå÷³é, äëÿ ÿêèõ çàäàí³ â³äïîâ³äí³ ïîòåíö³àëè øâèäêîñòåé
Âèçíà÷èòè òðàºêòîð³þ ÷àñòèíîê. 
Îñòàííÿ öèôðà øèôðó |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
à |
1,5 |
2,5 |
3,5 |
4,5 |
5,0 |
5,5 |
6,0 |
6,5 |
7,0 |
8,0 |
Ïåðåäîñòàííÿ öèôðà øèôðó |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
b |
1 |
2 |
3 |
4 |
5,2 |
6,2 |
7,2 |
1,6 |
1,8 |
2,9 |