A 6 m ladder leans against a wall. The bottom of the ladder is 1.7 m from the wall at time t=0 sec and slides away from the wall at a rate of 0.3 m/s. Find the velocity of the top of the ladder at time t=2 (take the direction upwards as positive).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A 6 m ladder leans against a wall. The bottom of the ladder is 1.7 m from the wall at time t=0 sec and slides away from the wall at a rate of 0.3 m/s. Find the velocity of the top of the ladder at time t=2 (take the direction upwards as positive). 

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Hello, could you please try this question again, the answer is not 0.088. The feedback said:

"Notice that the distance from the base of the ladder to the wall and the height of the top of the ladder from the floor are functions of time. Use the Pythagorean Theorum  X^2+h^2=a^2. Then Differnetiate both sides of thius equation with respect to T. The velocity of the ladder at time T=2 is dh/dt. 

Please fix it for me thank you. Please solve ASAP

 

 

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