TS EAMCET · Physics · Laws of Motion
Due to the presence of air resistance, if a body dropped from a height of 20 m reaches the ground with a speed of \(18 \mathrm{~ms}^{-1}\), then the time taken by the body to reach the ground is nearly
- A 1.8 s
- B 2.2 s
- C 2 s
- D 2.5 s
Answer & Solution
Correct Answer
(B) 2.2 s
Step-by-step Solution
Detailed explanation
\(a = \frac{v^2 - u^2}{2h}\) \(a = \frac{18^2 - 0^2}{2 \times 20} = \frac{324}{40} = 8.1 \mathrm{~ms}^{-2}\) \(t = \frac{v - u}{a}\) \(t = \frac{18 - 0}{8.1} \approx 2.22 \mathrm{~s}\) \(t \approx 2.2 \mathrm{~s}\)
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