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A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1 : a2, is equal to
- a)5 : 9
- b)5 : 7
- c)9 : 5
- d)9 : 7
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A body A starts from rest with an acceleration a1. After 2 seconds, an...
Time taken by body A, t1 = 5s
Acceleration of body A = a1
Time taken by body B, t2 = 5 − 2 = 3s
Acceleration of body B = a2
Distance covered by first body in 5th second after its start,
Distance covered by the second body in the 3rd second after its start,
Since S5 = S3
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Community Answer
A body A starts from rest with an acceleration a1. After 2 seconds, an...
Solution:
Let the distance covered by both A and B in the 5th second be d.
Using the equation of motion, we can find the velocity of A after 2 seconds:
v1 = u1 + a1t
v1 = 0 + a1(2)
v1 = 2a1
Similarly, we can find the velocity of B after 5 seconds:
v2 = u2 + a2t
v2 = 0 + a2(5)
v2 = 5a2
Now, using the equation of motion, we can find the distance travelled by A in the first 5 seconds:
s1 = u1t + 1/2 a1t^2
s1 = 0 + 1/2 a1(5)^2
s1 = 12.5a1
Similarly, we can find the distance travelled by B in the first 5 seconds:
s2 = u2t + 1/2 a2t^2
s2 = 0 + 1/2 a2(5)^2
s2 = 12.5a2
Since both A and B travel equal distances in the 5th second, we can say:
d = v1(1) + 1/2 a1(1)^2 = v2(5-4) + 1/2 a2(5-4)^2
d = 2a1 + 1/2 a1 = 5a2 - 1/2 a2
d = 3/2 a1 = 9/2 a2
Therefore, the ratio of a1 to a2 is:
a1/a2 = 9/5
Hence, the correct answer is option A.
Let the distance covered by both A and B in the 5th second be d.
Using the equation of motion, we can find the velocity of A after 2 seconds:
v1 = u1 + a1t
v1 = 0 + a1(2)
v1 = 2a1
Similarly, we can find the velocity of B after 5 seconds:
v2 = u2 + a2t
v2 = 0 + a2(5)
v2 = 5a2
Now, using the equation of motion, we can find the distance travelled by A in the first 5 seconds:
s1 = u1t + 1/2 a1t^2
s1 = 0 + 1/2 a1(5)^2
s1 = 12.5a1
Similarly, we can find the distance travelled by B in the first 5 seconds:
s2 = u2t + 1/2 a2t^2
s2 = 0 + 1/2 a2(5)^2
s2 = 12.5a2
Since both A and B travel equal distances in the 5th second, we can say:
d = v1(1) + 1/2 a1(1)^2 = v2(5-4) + 1/2 a2(5-4)^2
d = 2a1 + 1/2 a1 = 5a2 - 1/2 a2
d = 3/2 a1 = 9/2 a2
Therefore, the ratio of a1 to a2 is:
a1/a2 = 9/5
Hence, the correct answer is option A.
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A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2, is equal toa)5 : 9b)5 : 7c)9 : 5d)9 : 7Correct answer is option 'A'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2, is equal toa)5 : 9b)5 : 7c)9 : 5d)9 : 7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2, is equal toa)5 : 9b)5 : 7c)9 : 5d)9 : 7Correct answer is option 'A'. Can you explain this answer?.
A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2, is equal toa)5 : 9b)5 : 7c)9 : 5d)9 : 7Correct answer is option 'A'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2, is equal toa)5 : 9b)5 : 7c)9 : 5d)9 : 7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2, is equal toa)5 : 9b)5 : 7c)9 : 5d)9 : 7Correct answer is option 'A'. Can you explain this answer?.
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