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9. A vertical tower OA 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. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms. At time t seconds its position vector relative to O is r(t)=Vt i-gt j The stone hits the ground at a horizontal distance of 4V metres from A. What is the height of the tower? (A) 2g metres (B) 4g metres (C) 8g metres (D) 16g metres 10. What is the value of "C, +2"C,+3"C, +...+n"C, ? 71 (A) 3n-2 (B) n-1 1-1 (C) n2"- (D) 4-1

9. A vertical tower OA 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. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms. At time t seconds its position vector relative to O is r(t)=Vt i-gt j The stone hits the ground at a horizontal distance of 4V metres from A. What is the height of the tower? (A) 2g metres (B) 4g metres (C) 8g metres (D) 16g metres 10. What is the value of "C, +2"C,+3"C, +...+n"C, ? 71 (A) 3n-2 (B) n-1 1-1 (C) n2"- (D) 4-1

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 OA 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. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms. At time t seconds its position vector relative to O is r(t)=Vt i-gt j The stone hits the ground at a horizontal distance of 4V metres from A. What is the height of the tower? (A) 2g metres (B) 4g metres (C) 8g metres (D) 16g metres 10. What is the value of "C, +2"C,+3"C, +...+n"C, ? 71 (A) 3n-2 (B) n-1 1-1 (C) n2"- (D) 4-1
Transcribed Image Text:9. A vertical tower OA 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. The stone moves in a vertical plane under gravity where the acceleration due to gravity is g ms. At time t seconds its position vector relative to O is r(t)=Vt i-gt j The stone hits the ground at a horizontal distance of 4V metres from A. What is the height of the tower? (A) 2g metres (B) 4g metres (C) 8g metres (D) 16g metres 10. What is the value of "C, +2"C,+3"C, +...+n"C, ? 71 (A) 3n-2 (B) n-1 1-1 (C) n2"- (D) 4-1
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