1.1. , 10 5 /2. : 1) , 2) . : V=25 /, S=83,3 .
1.2. 4 S=A + Bt2, S , =8 , =2 /2, t- . , 2 /2. , . : t=0,7, at =4 /2, V=2,8 /, a=4,5 /2 .
1.3. S = A Bt + Ct2 + Dt3, = 6 , =3/, = 2 /2, D=1 /3. t1=1 t2= 4: 1) , 2) . : V=28 /, = 19 /2.
1.4. = t + t2, = 4 /, = - 0,05 /2. , , t1=0 t2= 80 .
1.5. xoy V = 3t i 4t j. : 1) 4 , 2) , 3) , 4) . : ∆r= 40 , = 5 /2, y = -1,33x, α = 530.
1.6. r (t)= A(i ∙cosωt + j ∙sinωt) r - , = 0,5 , ω= 5 /. , . : x2 + y2 = 0,25, V= 2,5 /, n = 12,5 /2.
1. 7. XOY : =0,1∙sinωt, y=0,l∙(l+cos ωt). , 10, V , y=f(x).
: S(10)= ω; α=π /2; 2+(-0,1)2=0,01.
1.8. - r = 3t2 i + 4t2 j + 7 k, I, j, k - , Y, Z. : 1) S, 10, 2) ∆r , 3) . : S=500, ∆r=500, =10 /2.
1.9. XOY : x=2sin ωt; =2cos ωt. , 2; V ; y=f(x).
: S(2)=4ω; α=π/2; 2+2=4.
1.10. -, , : r = 2t√t∙ i + 4t√t ∙j. , 2 . : V=9,5 /, 12,6 .
1.11. , V V = 2 i + 2t j + 2t2 k (/). 
4 ; t=4c.
: = 46,3 ; V = 33 /.
1.12. XOY : = - 2t; = 4t(l -t). = f(x) ; v ; t0, π/4 v. : = -2-2; V =-2 i +4(1-2t) j, a =-8 j, t0=0,75c.
|
|
|
1.13. - r = t2 i + 4t j - 2 k (). v, ; v t = 2. : V = 2t i +4 j, a =2 i, 5,7 /.
1.14. XOY = 2i +3t j. Y(x). : V =2t i + 1,5t2 j, r = t2 i + 05t3 j, Y= 0,5x1,5.
1.15. τ V= A+ Bt + Ct2 (0 ≤ t ≤ τ). τ. : V= + τ/2 + τ2/3, = + τ.
1.16. XOY : = 2t; = 4t(t - 1). = f(x) ; v ; t0, π/6 v. : = (-2); V = 2 i + (8t-4) j, a = 8 j, t0=0,93c.
1.17. XOY : x=10cos ωt; y=10(l-sin ωt). , 10 ; V ; y=f(x).: S=100ω; α=π /2; 2+(10-)2=100.
1.18. , V = 2 i + 4t j + 5t2 k (/). 2 t=2c. : = 16 ; V = 21,6 /.
1.19. - r r = b ∙t(1-αt), α- , b - . : 1) , 2) ∆t, , 3) , ∆t. : V = b (1-2αt), a = -2α b, ∆t=1/α, S= b/2α.
1.20. XOY : = t/2; = t(l - t). = f(x) ; v ; t0, π/3 v. : =2-42; t0=0,64c.
1.21. , - : r = 7 i + 4t j + 3t2 k (). V ? v t = 4 .
: V=18,4 /; ∆r = 50,6 .
1.22. xoy , V = 0,2t∙(6 i + 8 j). : 1) , 2) 5 , 3) 5 . : = 2 /, V=10 /, ∆r= 25 .
1.23. XOY : x=0,lcos ωt; y= l - 0,lsin ωt. , 10; V ; y=f(x). : S =ω; α=π /2; 2+(1-)2=0,01.
|
|
|
1.24. XOY : = 10t; = 9t(l - 2t). = f(x) ; v ; t0, π/3 v. : =0,9(1-0,2); t0=0,41c.
1.25. , V=α√, α- . , t=0 =0, : 1) , 2) , S . : α2t/2, α2/2, V=α√S/2.
1.
2.
3.
4.
5.
6.
7.
8.
9. ,
10.
11.
12.
13.
