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TS EAMCET · Physics · Motion In One Dimension

A car starts from rest and moves with a constant acceleration of \(5 \mathrm{~m} / \mathrm{s}^2\) for \(10 \mathrm{~s}\) before the driver applies the brake. It then decelerates for \(5 \mathrm{~s}\) before coming to rest, then the average speed of the car over the entire journey of the car is

  1. A \(23 \mathrm{~m} / \mathrm{s}\)
  2. B \(30 \mathrm{~m} / \mathrm{s}\)
  3. C \(33 \mathrm{~m} / \mathrm{s}\)
  4. D \(25 \mathrm{~m} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(25 \mathrm{~m} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

Schematic diagram for motion of body is Average speed \(=\frac{\text { Total displacement }}{\text { Total time }}\) In interval \(t=0\) to \(t=10 \mathrm{~s}\); Displacement, \(s_1=\frac{1}{2} a_1 t^2=\frac{1}{2} \times 5 \times(10)^2=250 \mathrm{~m}\) Final velocity,…
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