Maths Differentiation and Applications of Derivatives Application in Mechanics and Rate Measurer Single Correct MCQ
Published on: August 13, 2026

A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of . The length of the highest point of the ladder when the foot of the ladder away from the wall decreases at the rate of

A
2 m / sec
B
3 m / sec
C
2.5 m / sec
D
1.5 m / sec

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Text Solution

Verified by Experts
The correct answer is:
A

According to fig. .....(i)

Differentiate (i) w.r.t. t , we get

…..(ii)

Here and

From (i),

From (ii),

So,

Hence, length of the highest point decreases at the rate of 2 m / sec .

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