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Soluciones - Cinemática

CIN 1: (7, 6, 6); (3, 3, 10); (0, 6, 8); 9.02 m/s2; 4.31 m/s2; 27.3 m.

CIN 3: 2.09 rdn/s2; 70.84 vueltas; 40 s.

CIN 5: [4sen(4t-/2)] cm; 16 cm/s; 642 cm/s2; 831/2 m/s; -322 cm/s2.

CIN 7: [7arctg(t)]; [-14t/(1+t2)2]; 8.74 m; 0.7 m/s; -0.42 m/s2.

CIN 9: 0.015 m; 2/3 rdn/s; /2 rdn.

CIN 11: [3sen (x/2)]; ninguno; 0,  , 2 s.

CIN 13: 5.15 cm/s2; 39º.

CIN 15: 39i-2j m/s; 3t2i+2j m/s; 2j m/s; 6ti m/s2; 18t3/(9t4+4)1/2 m/s2; 12t/(9t4+4)1/2 m/s2; 131/2 m/s; 6i m/s2; 18/131/2 m/s2; 12/131/2 m/s2; (13.131/2)/12 m.

CIN 17: (0, 0, -3), (0, 0, 1), (0, 2, 0); (1, 1, -2), (3, 2, 1), (6, 2, 0); 5.88; 2.33; (3, 2, 1)/141/2.

CIN 19: 1.6 s; 67.46 m; -15.68 m/s; 34.32 m/s; 122.02 m; 127.55 m.

CIN 21: 0.026 m/s; 0.0137 m/s2; 0.05 m; /6 rdn/s.

CIN 23: 1.52 m/s2; 4 s; 6 s; 27.27 m.

CIN 25: (11, -3) m/s; (30, -2.5) m; (6, -0.5) m/s.

CIN 27: 12.7 s; 479.7 m; -24.46 m/s, +24.46 m/s.

CIN 29: 170 s; 4350 m.

CIN 33: 23.83 s; 476.6 m; 20 m/s, 43.66 m/s.
 
CIN 35: 5.45 s; -41.41 m/s.

CIN 37: 36 s.

CIN 41: [3t2-6t-9] rdn/s; [6t-6] rdn/s2; 1 s, 23.04 m/s2; 3 s, 1.92 m/s2.

CIN 43: 4t2 m; 8t m/s; 8 m/s2; 8 m/s.

CIN 45: 3 km; 18 km.

CIN 47: 25 m.

CIN 49: 4 m/s

CIN 53: 3H/4.

CIN 57: (30,35) m; (30,30) m/s; (0,-10) m/s2; 7.07 m/s2; 7.07 m/s2; 254.6 m; y=4x/3-x2/180.

CIN 59: 18.2 m.

CIN 61: 150 m/s; 143º; 286.5 m/s

CIN 63: 18 m/s; 56º; 3 s; 3 s; 23 m; 23 m; 0 m; 30.6 m; 0 m/s; 10 m/s

CIN 65: 4 m/s; 322 m/s2

CIN 67: 0 m/s ; 0.6  m/s

CIN 69 : 5 s

CIN 71 : 120 km/h

CIN 75 :  A(3)1/2/2

CIN 77 : 2 s; 4.5 s; 6.25 m
 

CIN 2: 3.62 s; 116.75 m; 14.52 m/s; 64.12 m/s.

CIN 4: al suelo; 3 s; 35.47 m/s; 76º.

CIN 6: [(6t-5)i+(108t2-180t+80)j]; [6i+(216t-180)j]; 216j; 215.94 m/s2; 5.14 m/s2; 12481 m.

CIN 8: no.

CIN 10: (4, -20, 0); 1041/2 m/s; 2 m/s2; 1.96 m/s2; 0.39 m/s2.

CIN 12: 0.745 s.

CIN 14: 44.1 m; 63º.

CIN 16: [(4t, 2t-4, 3)] m/s2; [2(t3-1)/3] m; [t3/3-2t2+8/3] m; [3t2/2-5t+11/2] m; 51/2 m; 291/2 m/s2.

CIN 18: [t3-t-2] m/s; [t4/4-t2/2-2t+7] m; 25 m/s; 561.75 m; 568.75 m.

CIN 20: 40.98 cm/s2; 78º.

CIN 22: no.

CIN 26: 2t m/s, 2t/5 rdn/s; 2 m/s2, 2/5 rdn/s2; 3.77 m/s2; (1,81, 4.66) m, (-3.72, 1.45) m/s, (-3, -2.26) m/s2.

CIN 28: 28.34 m/s.

CIN 30: 16.49 s; -153.57 m/s; -72.77 m/s.

CIN 32: 8 m/s; a<>0.

CIN 34: (8t, 2t) m/s; (0, 0) m/s; (8, 2) m/s2; (8, 2) m/s2; x-4y+13=0; 412.31 m.

CIN 36: [-4t2+40t+16] m; 16 m; -8 m/s2; 5 s; 116 m; 10.38 s.

CIN 40: y=(x+1)/3, z=1; (12, 4, 0) m/s; (6t, 2t, 0), t.401/2 m/s; (0.95, 0.32); (6, 2, 0) m/s2; (6, 2, 0) m/s2; at=40 m/s2; an=0; R=infinito.

CIN 42: 3er. escalón; 3.74 m/s.

CIN 46: 2t m/s2; t2-9 m/s; (t3/3)-9t+18 m.

CIN 48: 44.25 m/s; 127.5 m; 71.33 m/s; 36.18 m.

CIN 50: 4.8 km/h.

CIN 52: 4 m/s2; 4.31/2 m/s2; 3.31/2 m.

CIN 56: 7.64 m/s; 6.27 m/s; 695.5 m/s2.

CIN 58: 2 s; m/s; 2 m/s2; /2 m/s2; 10 m/s2.

CIN 60: (3,6) m/s; (0,2) m/s2; 63º; 1,79 m/s2; 0.89 m/s2; 50.56 m; y=x2/9 + 4x/3 + 6

CIN 62: 11.42 m/s; 22.88 m

CIN 64: 480 m/s2

CIN 66: 600 m ;  (2500+96t2)1/2; 96t/(2500+96t2)1/2 ; 490/(2500+96t2)1/2 ; 117º

CIN 68 : No

CIN 72 : (10, -3) m/s; (16, -9) m

CIN 76 : 21.7 m/s; 27º; 5m