Pociąg przyspieszył od prędkości 5m/s do predkości 25m/s na odcinku drogi 1200m.Oblicz przyspieszenie pociagu
Witaj :)
dane: v₁=5m/s, v₂=25m/s, s=1200m
szukane: a
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a = Δv/t = [v₂-v₁]/t..........vśr = [v₁+v₂]/2........s = vśr*t.......t = s/vśr
t = s/vśr = s/[(v₁+v₂)/2] = 2s/[v₁+v₂]
a = [v₂-v₁]*[v₂+v₁]/2s = [v₂²-v₁²]/2s = [625m²/s² - 25m²/s²]/2400m =
a = ¼m/s² = 0,25m/s²
Przyspieszenie wynosi 0,25m/s².
Semper in altum..............................pozdrawiam :)
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Witaj :)
dane: v₁=5m/s, v₂=25m/s, s=1200m
szukane: a
--------------------------------------------------
a = Δv/t = [v₂-v₁]/t..........vśr = [v₁+v₂]/2........s = vśr*t.......t = s/vśr
t = s/vśr = s/[(v₁+v₂)/2] = 2s/[v₁+v₂]
a = [v₂-v₁]*[v₂+v₁]/2s = [v₂²-v₁²]/2s = [625m²/s² - 25m²/s²]/2400m =
a = ¼m/s² = 0,25m/s²
Przyspieszenie wynosi 0,25m/s².
Semper in altum..............................pozdrawiam :)