Concept explainers
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 1.750 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.125 m above the floor. a. With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of 1.544 m from the cabinet? b. If Kit lands on a bed at a horizontal distance of 3.587 m from the cabinet, how high above the ground is the bed?
(a)
The initial velocity of Kit.
Answer to Problem 32PQ
The initial velocity of Kit is
Explanation of Solution
Kit is the cat that is trained to jump from one location to another through the center of a vertically placed hoop. Kit is at a height of
Write the formula for the vertical final velocity [Kinematic equation for constant acceleration]
Here,
Write the formula for the vertical position
Here,
Write the formula for the horizontal position
Here,
Kit jumped from initial position
Substituting
The initial vertical velocity of Kit is
Substituting
The time taken for Kit to reach the hoop is
Substitute
The initial horizontal velocity of Kit is
(b)
How high above the ground is the bed.
Answer to Problem 32PQ
The bed is
Explanation of Solution
The Kit lands on a bed at a horizontal distance of
Substitute
The time taken for the Kit to land on the bed is
Substituting
Thus, the bed is
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Chapter 4 Solutions
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