COMEDK · Physics · 3. Motion In One Dimension
A bus covers the first half of the total distance 6 km at a speed ' \(u\) ' and the second half at speed of \(30 \mathrm{~km} \mathrm{~h}^{-1}\). If the average speed is \(15 \mathrm{~km} \mathrm{~h}^{-1}\) the value of ' \(u\) ' is:
- A \(10 \mathrm{~km} \mathrm{~h}^{-1}\)
- B \(30 \mathrm{~km} \mathrm{~h}^{-1}\)
- C \(15 \mathrm{~km} \mathrm{~h}^{-1}\)
- D \(22.5 \mathrm{~km} \mathrm{~h}^{-1}\)
Answer & Solution
Correct Answer
(A) \(10 \mathrm{~km} \mathrm{~h}^{-1}\)
Step-by-step Solution
Detailed explanation
Let the total distance be \(D = 6\) km. The bus covers the first half distance \(d = 3\) km at speed \(u\) and the second half distance \(d = 3\) km at speed \(v = 30\) km h\(^{-1}\). The time taken for the first half is \(t_1 = \dfrac{d}{u} = \dfrac{3}{u}\). The time taken for…
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