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TS EAMCET · Physics · Motion In Two Dimensions

Consider a car initially at rest, starts to move along a straight road first with acceleration 5 m s-2, then with uniform velocity and finally, decelerating at 5 m s-2,, before coming to a stop. Total time taken from start to end is t=25 s. If the average velocity during that time is 72 km hr-1, the car moved with uniform velocity for a time of

  1. A 15 s
  2. B 30 s
  3. C 155 s
  4. D 2 s
Verified Solution

Answer & Solution

Correct Answer

(A) 15 s

Step-by-step Solution

Detailed explanation

Velocity vs. time graph can be drawn as Let the particle moves with constant acceleration for first t1 seconds. Clearly it retards for last t1 seconds. Maximum speed of the particles is v=u+at=0+5t1=5t1 Area of velocity vs time graph gives displacement ∴ displacement =…
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