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 of 1.710 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.115 m above the floor. (assume the center of the hoop is at the peak height of the jump. assume that +x axis is in the direction of the hoop from the cabinet and +y axis is up. assume g = 9.81 m/s2.)
(a) with what initial velocity did kit leave the cabinet if the hoop is at a horizontal distance of 1.569 m 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 of 3.591 m from the cabinet, how high above the ground is the bed?

Part a)

Part b)

Explanation:

Part a)

Maximum height of the center of the loop is

initial position of the cat is

now when cat will reach the maximum height its velocity will become zero

so we have

now the time taken by the cat to reach this height is given as

now the horizontal speed of the cat is given as

so the net initial speed of the cat is given as

Part b)

horizontal distance of the bed is given as

horizontal speed of the cat is given as

so the time taken by the cat to reach this position is

now in the same time displacement in y direction is given as

so height of the bed is given as

explanation: magnetic pole, region at each end of a magnet where the external magnetic field is strongest. the south-seeking pole, or any pole similar to it, is called a south magnetic pole. unlike poles of different magnets attract each other; like poles repel each other.