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The particle P is acted upon by its weight W and forces { F }_{ 1 } = (ai + btj + ctk) and { F }_{ 2 } = { dt }^{ 2 } i. If the particle originally has a velocity of { v }_{ 1 } = ( { v }_{ 1x } i+ { v }_{ 1y } j+ { v }_{ 1z } k), determine its speed after time { t }_{ 1 } . Given: W = 3 lb , g = { 32.2ft/s }^{ 2 } , { v }_{ 1x } = 3 ft/s , a = 5 lb , { v }_{ 1y } = 1 ft/s , b = 2 lb/s , { v }_{ 1z } = 6 ft s , c = 1 lb/s , { t }_{ 1 } = 2 s , d = { 1 lb/s }^{ 2 }

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