Answer to Question #247924 in Classical Mechanics for Alex

Question

A dog chases a cat across the 15m yard before the cat climbs a 4m tree. What is the finalndisplacement lf the cat?

Answer 1

$\text{Let point O be the initial position of the cat}\newline \text{point H is the beginning of a tree trunk located at ground level}\newline \text{point A the position of the cat on the tree}$

$|\vec {OH}|=15;|\vec {AH}|=4;\angle(\vec {OA},\vec {HA})=90\degree$

$S = |\vec {OA}|$

$\vec {OA} = \vec {OH}+ \vec {AH}$

$| \vec {OA} |= \sqrt{|\vec {OH}|^2+ |\vec {AH}|^2}= \sqrt{15^2+ 4^2}\approx15.52m$

$\text{Answer: }15.52m$