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AP EAMCET · PHYSICS · Motion In One Dimension

A car is moving along a straight line is brought to a stop within a distance of \(200 \mathrm{~m}\) and in time 10s. The initial speed of the car is

  1. A \(25 \mathrm{~ms}^{-1}\)
  2. B \(50 \mathrm{~ms}^{-1}\)
  3. C \(25 \mathrm{~ms}^{-1}\)
  4. D \(25 \mathrm{~ms}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(25 \mathrm{~ms}^{-1}\)

Step-by-step Solution

Detailed explanation

Given, displacement of car, \(s=200 \mathrm{~m}\) Time taken, \(t=10 \mathrm{~s}\) Final velocity of car \(=0\) Now using, Average velocity \(\times\) time \(=\) Displacement or \[ \left(\frac{v+u}{2}\right) \times t=s \] We get, \(\quad\left(\frac{0+u}{2}\right) \times 10=200\)…