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.

The parabolic trajectories of three different jumps.
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.

Answer Section#

  • \(\Delta t_1 > \Delta t_2 > \Delta t_3\)

  • \(\Delta t_1 > \Delta t_3 > \Delta t_2\)

  • \(\Delta t_2 > \Delta t_1 > \Delta t_3\)

  • \(\Delta t_2 > \Delta t_3 > \Delta t_1\)

  • \(\Delta t_3 > \Delta t_1 > \Delta t_2\)

  • \(\Delta t_3 > \Delta t_2 > \Delta t_1\)

Part 2#

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

Answer Section#

  • \(v_{x1} > v_{x2}\)

  • \(v_{x2} > v_{x1}\)

  • \(v_{x1} = v_{x2}\)

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.