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A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t3 - t2 - 1. The acceleration of the particle after one second will be-

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NPCIL SA/ST ME GJ held on 07/11/2019 Shift-1
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  1. 4 m/s2
  2. 6 m/s2
  3. 8 m/s2
  4. 10 m/s2

Answer (Detailed Solution Below)

Option 4 : 10 m/s2
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Detailed Solution

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Concept:

If s = f(t)

Then, First derivative with respect to time represents the velocity

Acceleration is given by

Where s is the displacement

Calculation:

Given:

s = 2t3 – t2 - 1 and t = 1 sec.

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