>> 10 .

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12.

.

, , .

1. υ0 = 20 /. t = 2 , , 16 /. , .

. , - , . (. 1.47). : = (υ - υ0)/t = -2 /2.

, , . = |x| = |-2 /2| = 2 /2.

2. υ0 = 4 /. = 2 /2. t = 2 . h 4 . , , ?

. OY . , = 0 + υ0yt + ayt2/2.

0 = h, υ0y = υ0, = -, = .

= h + υ0t - at2/2; = 8.

3. 1.48 .

1) .

2) , t3.

3) , t3.

. 0 , . 1 = (υ1 - 0)/t1 = 1 /2.

Δt t2 - t1 : υ = υ1 = const, 2 = 0. t > t2 3 = (0 - υ1)/(t3 - t2) = -0,5 /2.

(1.49, ) x t. x(t) 0 < t < t1 = 0 + a1xt2/2 t = t1, 1 = a1xt12/2 = 8 . t1 υ1, :

2 = 1 + υ1x(t2 - t1) = 32 .

t = t2 :

x3 = x2 + υ1x(t3 - t2) - 3(t3 - t2)2/2 = 48 .

υ = x3/t3 ≈ 2,7 /.

x(t) (1.49, ). , x(t), : , , . , ( ), x(t) . (. . 1.48):

υ3 = υ1xt1/2 + υ1x(t2 t1) + υ1x(t3 t2)/2 = 48 .

1. . , υ0 = 4 /, = 2 /2. 4 .

2. 0 = 10 υ0 = 20 /, . , 10 /2. 1, 2, 3, 4 .

3. 1.50 . .

 

 

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