Ladder against a wall, foot pulled away at a given rate: how fast the top slides down
The same question, asked 3 times: 15 May 2023 S1*, 10 May 2024 S1*, 11 May 2024 S2. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
15 May 2023 S1
140A ladder 5 m in length is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of m/sec. How fast is the height on the wall decreasing when the foot of the ladder is 4 m away from the wall?Tap an option to check your answer.
Question 2
10 May 2024 S1
106A ladder of length 17 m rests with one end against a vertical wall and the other on the level ground. If the lower end slips away at the rate of 1 m/sec, then when it is 8 m away from the wall, its upper end descends atTap an option to check your answer.
Question 3
11 May 2024 S2
125A rod AB, 13 feet long moves with its ends A and B on two perpendicular lines OX and OY respectively. When A is 5 feet from O, it is moving away at the rate of 3 feet/sec. At this instant, B is moving at the rateTap an option to check your answer.