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AP EAMCET202123 Aug 2021Morning ShiftPhysicsMotion in One DimensionActual

The velocity of a particle is given by v=2 t^2-8 t+15 ~ms ⁻¹ . Find its instantaneous acceleration at t=5 ~s .

Options

  1. A18 ~ms ⁻²
  2. B20 ~ms ⁻²
  3. C5 ~ms ⁻²
  4. D12 ~ms ⁻²

Correct answer

D. 12 ~ms ⁻²

Step-by-step solution

Given, velocity, v=2 t^2-8 t+15 time, t=5 ~s Let acceleration be a . aligned & a= d v d t & a=4 t- .8 |_ t=5 & =4 5-8 & =20-8 & =12 ~ms ⁻² aligned

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