Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of1.756mabove the floor and jumps through the center of a vertical hoop, reaching a peak height3.130mabove the floor. (Assume the center of the hoop is at the peak height of the jump. Assume that+xaxisis in the direction of the hoop from the cabinet and+yaxisis up. Assumeg= 9.81 m/s².)

(a) With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of1.562m from the cabinet? (Express your answer in vector form. Give your answer to at least two decimal places for each vector component.) (b) If Kit lands on a bed at a horizontal distance of3.582m from the cabinet, how high above the ground is the bed?