Some cats can be trained to jump from one location to another and perform other

Question

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 1.746 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.140 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 1.547 m from the cabinet? (Express your answerin vector form. Give your answer to at least two decimal places for each vector component.) -2.9i+5.23jm/s vo (b) If Kit lands on a bed at a horizontal distance of 3.589 m from the cabinet, how high above the ground is the bed?

Explanation / Answer

1)

Time taken by cat to reach the bed, t1 = 3.589/2.9 = 1.24 sec

Time for free fall, t = 1.24 - 0.533 = 0.707 sec

Vertical distance, y = 0.5 x 9.81 x 0.707^2 = 2.45 m

Height, h = 3.14 - 2.45 = 0.69 m

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