Practice question
Question
A stone falls freely from a height of 19.6 m . How long does it take to reach the ground? (Take g = 9.8 m/s² )
Explanation
Given:
A stone falls freely from a height of 19.6 m . How long does it take to reach the ground? (Take g = 9.8 m/s² )
These values define the system as per NCERT data.
Formula:
For free fall, use y = 1/2 g t².
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Here, y = 19.6 m, g = 9.8 m/s² . Substitute: 19.6 = 1/2 · 9.8 · t² Rightarrow 19.6 = 4.9 t² Rightarrow t² = 4 Rightarrow t = 2 s . The time taken is 2 s .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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