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A ball is thrown vertically upward with initial velocity is 20 m/sec .
a) find maximum height
b) total time to return back the ball in ground?
a) find maximum height
b) total time to return back the ball in ground?
Most Upvoted Answer
A ball is thrown vertically upward with initial velocity is 20 m/sec ....
Maximum Height Calculation
To find the maximum height achieved by the ball, we can use the kinematic equation:
- Formula: h = (v^2 - u^2) / (2 * g)
Where:
- h = maximum height
- u = initial velocity (20 m/s)
- v = final velocity at maximum height (0 m/s)
- g = acceleration due to gravity (approximately 9.8 m/s²)
Substituting the values:
- h = (0 - (20)^2) / (2 * -9.8)
- h = (400) / (19.6)
- h ≈ 20.41 m
Thus, the maximum height reached by the ball is approximately 20.41 meters.
Total Time to Return to Ground
To find the total time taken for the ball to return to the ground, we can use the formula:
- Formula: t = (2 * u) / g
Where:
- t = total time
- u = initial velocity (20 m/s)
- g = acceleration due to gravity (approximately 9.8 m/s²)
Substituting the values:
- t = (2 * 20) / 9.8
- t ≈ 4.08 seconds
Thus, the total time taken for the ball to return to the ground is approximately 4.08 seconds.
Summary
- Maximum Height: 20.41 meters
- Total Time to Return: 4.08 seconds
This analysis provides a clear understanding of the motion of the ball thrown vertically upward, illustrating the principles of kinematics in action.
To find the maximum height achieved by the ball, we can use the kinematic equation:
- Formula: h = (v^2 - u^2) / (2 * g)
Where:
- h = maximum height
- u = initial velocity (20 m/s)
- v = final velocity at maximum height (0 m/s)
- g = acceleration due to gravity (approximately 9.8 m/s²)
Substituting the values:
- h = (0 - (20)^2) / (2 * -9.8)
- h = (400) / (19.6)
- h ≈ 20.41 m
Thus, the maximum height reached by the ball is approximately 20.41 meters.
Total Time to Return to Ground
To find the total time taken for the ball to return to the ground, we can use the formula:
- Formula: t = (2 * u) / g
Where:
- t = total time
- u = initial velocity (20 m/s)
- g = acceleration due to gravity (approximately 9.8 m/s²)
Substituting the values:
- t = (2 * 20) / 9.8
- t ≈ 4.08 seconds
Thus, the total time taken for the ball to return to the ground is approximately 4.08 seconds.
Summary
- Maximum Height: 20.41 meters
- Total Time to Return: 4.08 seconds
This analysis provides a clear understanding of the motion of the ball thrown vertically upward, illustrating the principles of kinematics in action.
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Question Description
A ball is thrown vertically upward with initial velocity is 20 m/sec .a) find maximum height b) total time to return back the ball in ground? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A ball is thrown vertically upward with initial velocity is 20 m/sec .a) find maximum height b) total time to return back the ball in ground? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown vertically upward with initial velocity is 20 m/sec .a) find maximum height b) total time to return back the ball in ground?.
A ball is thrown vertically upward with initial velocity is 20 m/sec .a) find maximum height b) total time to return back the ball in ground? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A ball is thrown vertically upward with initial velocity is 20 m/sec .a) find maximum height b) total time to return back the ball in ground? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown vertically upward with initial velocity is 20 m/sec .a) find maximum height b) total time to return back the ball in ground?.
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