Smokey the cat is back and chasing a flying insect. Smokey can jump with the same initial velocity in any angle 0 with respect to the horizontal direction. (a) At what angle should Smokey jump in order to reach the highest vertical height? (b) At what angle should Smokey jump in order to have the largest displacement from where he started? (c) Prove your answer to (b) (hint: You can find minima and maxima with respect to a variable by taking the derivative with respect to that variable and setting it equal to zero).

Smokey the cat is back and chasing a flying insect. Smokey can jump with the same initial velocity in any angle 0 with respect to the horizontal direction. (a) At what angle should Smokey jump in order to reach the highest vertical height? (b) At what angle should Smokey jump in order to have the largest displacement from where he started? (c) Prove your answer to (b) (hint: You can find minima and maxima with respect to a variable by taking the derivative with respect to that variable and setting it equal to zero).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter4: Two-and-three Dimensional Motion

Section: Chapter Questions

Problem 51PQ

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