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A body falling freely under gravity passes two points 30 m apart in 1 s. From what point above the upper point it began to fall? (Take g = 9.8 ms2).
  • a)
    32.1 m
  • b)
    16.0 m
  • c)
    8.6 m
  • d)
    4.0 m
Correct answer is option 'A'. Can you explain this answer?
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A body falling freely under gravity passes two points 30 m apart in 1 ...
Suppose the body passes the upper point at t second and lower point at (t + 1) s, then
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A body falling freely under gravity passes two points 30 m apart in 1 ...
Given data:
Distance between two points, d = 30m
Time taken to cover this distance, t = 1s
Acceleration due to gravity, g = 9.8 m/s²

Let's consider the motion of the body from the point it started falling till it reaches the upper point.

1. Initial velocity of the body:
When the body started falling, its initial velocity (u) was zero as it was at rest.

2. Distance covered by the body in the first second:
After falling for the first second, the body covered a distance of S = ut + 1/2 gt²
Substituting u = 0, g = 9.8 m/s², and t = 1s, we get S = 1/2 × 9.8 × 1²
S = 4.9 m

3. Distance between the upper point and the starting point of the body:
Let the height of the starting point be h.
Then, the distance between the upper point and starting point = d + h

4. Time taken by the body to fall from the starting point to the upper point:
The time taken by the body to fall from the starting point to the upper point can be calculated using the formula:
d = 1/2 gt²
Substituting d = 30m and g = 9.8 m/s², we get t² = 30/4.9
t = 2.02 s (approx)

5. Using the time, we can find the height of the starting point:
The distance covered by the body in the first second can be calculated using the formula:
S = 1/2 gt²
Substituting g = 9.8 m/s² and t = 1s, we get S = 4.9 m
So, the distance covered by the body in the remaining time (2.02 - 1 = 1.02s) can be calculated as:
S = ut + 1/2 gt²
Substituting u = 0, g = 9.8 m/s², and t = 1.02s, we get S = 4.9996 m (approx)
Thus, the total distance covered by the body = 4.9 + 4.9996 = 9.8996 (approx)

The distance between the upper point and starting point = d + h = 30 + h
Therefore, using the formula:
S = 1/2 gt²
Substituting g = 9.8 m/s², t = 2.02s, and S = 30 + h, we get:
30 + h = 1/2 × 9.8 × (2.02)²
30 + h = 39.22
h = 39.22 - 30
h = 9.22 m (approx)

So, the body started falling from a height of 9.22 m above the upper point.

Therefore, the correct option is (a) 32.1 m.
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A body falling freely under gravity passes two points 30 m apart in 1 s. From what point above the upper point it began to fall? (Take g = 9.8 ms2).a)32.1 mb)16.0 mc)8.6 md)4.0 mCorrect 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 falling freely under gravity passes two points 30 m apart in 1 s. From what point above the upper point it began to fall? (Take g = 9.8 ms2).a)32.1 mb)16.0 mc)8.6 md)4.0 mCorrect 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 falling freely under gravity passes two points 30 m apart in 1 s. From what point above the upper point it began to fall? (Take g = 9.8 ms2).a)32.1 mb)16.0 mc)8.6 md)4.0 mCorrect answer is option 'A'. Can you explain this answer?.
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