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A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?
- a)135 cm/s, 60 cm/s2
- b)100 cm/s, 45 cm/s2
- c)90 cm/s, 60 cm/s2
- d)115 cm/s, 50 cm/s2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A point is moving with uniform acceleration, in the eleventh and fifte...
Given:
Acceleration is uniform.
S11 = 640 cm
S15 = 840 cm
Formula:
Distance traveled in nth second 
where u is the initial velocity and a is the acceleration.
Calculations:
S11 = u + a/2(2 × 11 - 1)
⇒ 640 = u + 21a/2 --- (i)
S15 = u + a/2(2 × 15 - 1)
⇒ 840 = u + 29a/2 --- (ii)
Subtracting (i) from (ii) :
⇒ 200 = 4a
⇒ a = 50 cm/s2
Putting a = 50 in (i) -
u = 115 cm/s
Most Upvoted Answer
A point is moving with uniform acceleration, in the eleventh and fifte...
Given data:
- Initial velocity (u) = ?
- Final velocity in the 11th second = 640 cm/s
- Final velocity in the 15th second = 840 cm/s
- Time taken to reach the final velocity in the 11th second = 11 seconds
- Time taken to reach the final velocity in the 15th second = 15 seconds
- Acceleration (a) = ?
Calculating initial velocity:
1. Using the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
2. For the 11th second: 640 = u + 11a
3. For the 15th second: 840 = u + 15a
4. Subtracting the two equations: 840 - 640 = 15a - 11a
5. 200 = 4a
6. Therefore, a = 50 cm/s2
7. Substituting the value of a in the equation for the 11th second: 640 = u + 11(50)
8. Solving for u, we get u = 115 cm/s
Therefore, the initial velocity is 115 cm/s and the acceleration is 50 cm/s2.
- Initial velocity (u) = ?
- Final velocity in the 11th second = 640 cm/s
- Final velocity in the 15th second = 840 cm/s
- Time taken to reach the final velocity in the 11th second = 11 seconds
- Time taken to reach the final velocity in the 15th second = 15 seconds
- Acceleration (a) = ?
Calculating initial velocity:
1. Using the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
2. For the 11th second: 640 = u + 11a
3. For the 15th second: 840 = u + 15a
4. Subtracting the two equations: 840 - 640 = 15a - 11a
5. 200 = 4a
6. Therefore, a = 50 cm/s2
7. Substituting the value of a in the equation for the 11th second: 640 = u + 11(50)
8. Solving for u, we get u = 115 cm/s
Therefore, the initial velocity is 115 cm/s and the acceleration is 50 cm/s2.
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A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer?
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A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer?.
A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point is moving with uniform acceleration, in the eleventh and fifteenth seconds from the commencement it moves through 640 and 840 cms respectively, find its initial velocity, and the acceleration with which it moves?a)135 cm/s, 60 cm/s2b)100 cm/s, 45 cm/s2c)90 cm/s, 60 cm/s2d)115 cm/s, 50 cm/s2Correct answer is option 'D'. Can you explain this answer?.
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