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A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)
- a)The height of th etable is 0.8 m
- b)it hits the ground at angle of 60° with the vertical
- c)it covers a horizontal distance 1.6 m from the table
- d)it hits the ground with vertical velocity 4 m/s
Correct answer is option 'B'. Can you explain this answer?
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Explanation:
Given data:
- Initial velocity of the ball, u = 4 m/s
- Time taken to hit the ground, t = 0.4 s
- Acceleration due to gravity, g = 10 m/s²
Calculations:
- Using the equation of motion, s = ut + (1/2)at², where s is the distance fallen
- Substituting the values, we get s = 4(0.4) + (1/2)(10)(0.4)² = 1.6 m
- This is the horizontal distance covered by the ball before hitting the ground, which matches with option 'c'
- Now, using the formula for vertical distance fallen, h = (1/2)gt², where h is the height of the table
- Substituting the values, we get h = (1/2)(10)(0.4)² = 0.8 m
- This confirms that the height of the table is indeed 0.8 m, which matches with option 'a'
- The vertical velocity of the ball when it hits the ground can be calculated using the formula, v = u + gt
- Substituting the values, we get v = 4 + (10)(0.4) = 8 m/s
- Therefore, the ball hits the ground with a vertical velocity of 8 m/s, not 4 m/s as mentioned in option 'd'
- The angle at which the ball hits the ground with the vertical can be calculated using the formula, θ = tan⁻¹(v/u)
- Substituting the values, we get θ = tan⁻¹(8/4) = tan⁻¹(2) ≈ 63.43°
- Therefore, the angle at which the ball hits the ground is approximately 63.43°, not 60° as mentioned in option 'b'
Therefore, the incorrect statement is option 'b', as the ball hits the ground at an angle of approximately 63.43° with the vertical, not 60°.
Given data:
- Initial velocity of the ball, u = 4 m/s
- Time taken to hit the ground, t = 0.4 s
- Acceleration due to gravity, g = 10 m/s²
Calculations:
- Using the equation of motion, s = ut + (1/2)at², where s is the distance fallen
- Substituting the values, we get s = 4(0.4) + (1/2)(10)(0.4)² = 1.6 m
- This is the horizontal distance covered by the ball before hitting the ground, which matches with option 'c'
- Now, using the formula for vertical distance fallen, h = (1/2)gt², where h is the height of the table
- Substituting the values, we get h = (1/2)(10)(0.4)² = 0.8 m
- This confirms that the height of the table is indeed 0.8 m, which matches with option 'a'
- The vertical velocity of the ball when it hits the ground can be calculated using the formula, v = u + gt
- Substituting the values, we get v = 4 + (10)(0.4) = 8 m/s
- Therefore, the ball hits the ground with a vertical velocity of 8 m/s, not 4 m/s as mentioned in option 'd'
- The angle at which the ball hits the ground with the vertical can be calculated using the formula, θ = tan⁻¹(v/u)
- Substituting the values, we get θ = tan⁻¹(8/4) = tan⁻¹(2) ≈ 63.43°
- Therefore, the angle at which the ball hits the ground is approximately 63.43°, not 60° as mentioned in option 'b'
Therefore, the incorrect statement is option 'b', as the ball hits the ground at an angle of approximately 63.43° with the vertical, not 60°.
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A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer?
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A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer?.
A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A ball is rolled off along the edge of table with velocity 4 m/s. It hits the ground after time 0.4 s. Which one of the following is wrong? (g = 10 m/s2)a)The height of th etable is 0.8 mb)it hits the ground at angle of 60° with the verticalc)it covers a horizontal distance 1.6 m from the tabled)it hits the ground with vertical velocity 4 m/sCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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