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A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range?
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A ball is thrown at an angle 30 from the horizontal with a velocity 20...
Problem Statement
A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range?
Solution
Step 1: Break down the given information
- Angle of projection: 30 degrees
- Initial velocity: 20 m/s
- Height of building: 40 m
Step 2: Calculate time of flight
Time of flight can be calculated using the formula:
Time of flight = (2 * u * sin(theta)) / g
- u = initial velocity = 20 m/s
- theta = angle of projection = 30 degrees
- g = acceleration due to gravity = 9.8 m/s^2
Therefore, substituting the values in the formula:
Time of flight = (2 * 20 * sin(30)) / 9.8 = 4.08 seconds
Step 3: Calculate horizontal range
Horizontal range can be calculated using the formula:
Horizontal range = u^2 * sin(2 * theta) / g
- u = initial velocity = 20 m/s
- theta = angle of projection = 30 degrees
- g = acceleration due to gravity = 9.8 m/s^2
Therefore, substituting the values in the formula:
Horizontal range = 20^2 * sin(2 * 30) / 9.8 = 58.24 meters
Step 4: Interpretation of the results
The ball would take 4.08 seconds to reach the ground and would travel a horizontal distance of 58.24 meters. This means that the ball would land approximately 58.24 meters away from the building.
Community Answer
A ball is thrown at an angle 30 from the horizontal with a velocity 20...
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A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range?
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A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range?.
A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown at an angle 30 from the horizontal with a velocity 20m/s from the top of a building of height 40m . Find its time of flight and horizontal range?.
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