## Question:

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 = ${ 1 lb/s }^{ 2 }$