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A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level?
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A particle is projected from the ground level. It just passes through ...
Analysis:
- Let the initial velocity of the particle be u m/s and the angle of projection be θ.
- The time taken to travel from A to B is t seconds. Hence, the time taken from B to C is 2t seconds.
- Using the equations of motion, the time taken from A to B can be calculated as t = 20/(u * sin(θ)) seconds.
Calculating the time taken from B to C:
- The horizontal distance between B and C is the same as the horizontal distance between A and B.
- The time taken from B to C can be expressed as 2t = 40/(u * sin(θ)) seconds.
Calculating the maximum height:
- The maximum height attained by the particle can be calculated using the formula h = (u^2 * sin^2(θ))/(2g), where g is the acceleration due to gravity.
- Since the particle just passes through the upper ends of the poles, the height attained by the particle when passing through B is 30 m.
- Using the formula, the maximum height attained by the particle is h = 30 + [(u^2 * sin^2(θ))/(2g)] meters.
- Let the initial velocity of the particle be u m/s and the angle of projection be θ.
- The time taken to travel from A to B is t seconds. Hence, the time taken from B to C is 2t seconds.
- Using the equations of motion, the time taken from A to B can be calculated as t = 20/(u * sin(θ)) seconds.
Calculating the time taken from B to C:
- The horizontal distance between B and C is the same as the horizontal distance between A and B.
- The time taken from B to C can be expressed as 2t = 40/(u * sin(θ)) seconds.
Calculating the maximum height:
- The maximum height attained by the particle can be calculated using the formula h = (u^2 * sin^2(θ))/(2g), where g is the acceleration due to gravity.
- Since the particle just passes through the upper ends of the poles, the height attained by the particle when passing through B is 30 m.
- Using the formula, the maximum height attained by the particle is h = 30 + [(u^2 * sin^2(θ))/(2g)] meters.
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A particle is projected from the ground level. It just passes through ...
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A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level?
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A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level?.
A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level?.
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A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level?, a detailed solution for A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level? has been provided alongside types of A particle is projected from the ground level. It just passes through upper ends of vertical poles A,B,C of height 20 m, 30 m, and 20 m respectively. The time taken by the particle to travel from B to C is double of the time taken from A to B. Find the maximum height attained by the particle from the ground level? theory, EduRev gives you an
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