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).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please explain the concept and logic behind the answers. The answers are as follows, but I dont understand the concept behind it or how the answer was derived. Please explain, thank you!

a) 0 degrees or 90 degrees

b) 45 degrees

c) Show proof of physics range equation. 

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).
Transcribed Image Text: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).
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