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A vertical tower AO of height h metres stands with its base A on horizontal ground. A stone is projected horizontally from the top O of the tower with speed V ms¹. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms ². At time t seconds its position vector relative to O is r(t) = Vt i-gt² j. The stone hits the ground at an angle of 45° to the horizontal. What is the time of impact? (A) (B) (C) (D) V 2g V g 2V g 4V g seconds seconds seconds seconds

A vertical tower AO of height h metres stands with its base A on horizontal ground. A stone is projected horizontally from the top O of the tower with speed V ms¹. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms ². At time t seconds its position vector relative to O is r(t) = Vt i-gt² j. The stone hits the ground at an angle of 45° to the horizontal. What is the time of impact? (A) (B) (C) (D) V 2g V g 2V g 4V g seconds seconds seconds seconds

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9. A vertical tower AO of height h metres stands with its base A on horizontal ground. A stone is projected horizontally from the top O of the tower with speed V ms ¹. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms 2. At time t seconds its position vector relative to O is r(t) = Vt i-lgt² j The stone hits the ground at an angle of 45° to the horizontal. What is the time of impact? (A) (B) (C) (D) V 2g V g 2V g 4V g seconds seconds seconds seconds
Transcribed Image Text:9. A vertical tower AO of height h metres stands with its base A on horizontal ground. A stone is projected horizontally from the top O of the tower with speed V ms ¹. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms 2. At time t seconds its position vector relative to O is r(t) = Vt i-lgt² j The stone hits the ground at an angle of 45° to the horizontal. What is the time of impact? (A) (B) (C) (D) V 2g V g 2V g 4V g seconds seconds seconds seconds
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