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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in One Dimension

NTA Abhyas 2020 · Physics · Motion in One Dimension

A car accelerates from rest at a constant rate of 2ms^ - 2 for some...

A car accelerates from rest at a constant rate of 2ms−22ms^{- 2} for some time. Then, it retards at a constant rate of 4ms−24ms^{- 2} and comes to rest. If the total time for which it remains in motion is 3s3s, Then the total distance travelled is

Options

  1. A2m2m
  2. B3m3m
  3. C4m4m
  4. D6m6m

Correct answer

D. 6m6m

Step-by-step solution

Using v=u+atorv−u=at,v = u + atorv - u = at, we find that if ∣a→∣\left|\overset{→}{a}\right| is doubled,~tt~will be halved.

If& tt is the time for accelerations, then t2\dfrac{t}{2} is the time for retardation.

Now, t+t2=3t + \dfrac{t}{2} = 3

or~3t2=3\dfrac{3t}{2} = 3

t=2st = 2s

S = \dfrac{1}{2} \times 2 \times 2 \times 2 + \dfrac{1}{2} \times 4 \times 1 \times 1 = \left(4 + 2\right)m = 6m

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