TS EAMCET · Physics · Motion In One Dimension
The driver of a bus moving with a velocity of 72 kmph observes a boy walking across the road at a distance of 50 m in front of the bus and decelerates the bus at \(5 \mathrm{~ms}^{-2}\) by applying brakes and is just able to avoid an accident. The reaction time of the driver is
- A 4 s
- B 3.5 s
- C 0.5 s
- D 4.5 s
Answer & Solution
Correct Answer
(C) 0.5 s
Step-by-step Solution
Detailed explanation
\( u = 72 \times \frac{5}{18} \mathrm{~ms}^{-1} = 20 \mathrm{~ms}^{-1} \) \( v^2 = u^2 + 2aS_b \Rightarrow 0^2 = (20)^2 + 2(-5)S_b \Rightarrow 0 = 400 - 10S_b \Rightarrow S_b = 40 \mathrm{~m} \) \( S_r = S - S_b = 50 \mathrm{~m} - 40 \mathrm{~m} = 10 \mathrm{~m} \)…
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