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If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is?
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If a body, thrown vertically upwards with a certain velocity returns t...
The initial velocity of the body is going to be equal to twice the gravitational acceleration times the time, so in this case it would be (2*9.81 m/s^2)*7s = 137.7 m/s.
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If a body, thrown vertically upwards with a certain velocity returns t...
Given information:
- Time taken for the body to return to its starting point = 7 seconds
Find:
- Initial velocity of the body
Key Concepts:
- When a body is thrown vertically upwards, the time taken to return to its starting point is twice the time taken to reach the maximum height.
Calculations:
1. Time taken to reach the maximum height:
- Let t be the time taken to reach the maximum height
- The time taken to return to the starting point = 2t (as it takes the same time to come back down)
- Given, the total time taken to return to the starting point = 7 seconds
- Therefore, 2t = 7
- t = 7/2
- t = 3.5 seconds
2. Using the formula for time taken to reach the maximum height:
- The formula for the time taken to reach the maximum height is t = (final velocity - initial velocity) / acceleration due to gravity
- At the maximum height, the final velocity is 0 m/s (as the body momentarily stops before falling back down)
- Therefore, 3.5 = (0 - u) / (-9.8)
- -3.5 * (-9.8) = u
- u = 34.3 m/s
Therefore, the initial velocity of the body is 34.3 m/s.
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If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is?.
If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a body, thrown vertically upwards with a certain velocity returns to its starting point in 7 seconds the initial velocity of the body is?.
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