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TS EAMCET · Physics · Motion In One Dimension

Consider a vechicle moving with a velocity \(54 \mathrm{~km} / \mathrm{h}\). At a distance of \(400 \mathrm{~m}\), from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes is \(-0.3 \mathrm{~m} / \mathrm{s}^2\). The vehicle's position relative to the traffic light is

  1. A \(25 \mathrm{~m}\)
  2. B \(375 \mathrm{~m}\)
  3. C \(425 \mathrm{~m}\)
  4. D \(30 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(25 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given, initial velocity, \[ \begin{aligned} & u=54 \mathrm{~km} / \mathrm{h}=54 \times \frac{5}{18} \mathrm{~m} / \mathrm{s} \\ & u=15 \mathrm{~m} / \mathrm{s} \end{aligned} \] Distance of signal from vehicle, \(d=400 \mathrm{~m}\) acceleration,…
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