# Cat in a Laundry Basket#

A cat jumps out of a laundry basket, travelling $$w =$$ 38 $$cm$$ horizontally before just clearing the $$h =$$ 55 $$cm$$ high edge of the basket. The parabolic trajectories of three different jumps labelled 1, 2, and 3 are shown below.

##### Long Description of image: The parabolic trajectories of three different jumps.
Trajectory 1 has the highest peak and smallest range.
Trajectory 2 has the lowest peak and the second largest range.
Trajectory 3 has the second highest peak and the largest range.

Long description ends.

## Part 1#

Rank the time in the air ($$\Delta t_1, \Delta t_2, and \Delta t_3$$, respectively) of the cat on each path.

• $$\Delta t_1 > \Delta t_2 > \Delta t_3$$

• $$\Delta t_1 > \Delta t_3 > \Delta t_2$$

• $$\Delta t_2 > \Delta t_1 > \Delta t_3$$

• $$\Delta t_2 > \Delta t_3 > \Delta t_1$$

• $$\Delta t_3 > \Delta t_1 > \Delta t_2$$

• $$\Delta t_3 > \Delta t_2 > \Delta t_1$$

## Part 2#

Rank the relative sizes of the $$x-$$components of the velocity vectors for path 1 ($$v\_{x1}$$) and path 2 ($$v\_{x2}$$).

• $$v_{x1} > v_{x2}$$
• $$v_{x2} > v_{x1}$$
• $$v_{x1} = v_{x2}$$