The motor pulls on the cable at A with a force F = a + { bt }^{ 2 } . If the crate of weight W is originally at rest at t = 0, determine its speed at time t = { t }_{ 2 } . Neglect the mass of the cable and pulleys. Hint: First find the time needed to begin lifting the crate. Given: W = 17 lb , a = 30 lb , b = { 1 lb/s }^{ 2 } , { t }_{ 2 } = 4 s