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The motion of a particle moving along the y-axis is represented as y = 3 t - 2 + 5 t - 2 2 . Identify the correct statement

Options

  1. Athe initial t = 0 velocity of the particle is 3 m s - 1
  2. Bthe acceleration of the particle is 5 m s - 1
  3. Cthe particle is at the origin at t = 2 s
  4. Dall of the above

Correct answer

C. the particle is at the origin at t = 2 s

Step-by-step solution

We know that v → = d y d t & a → = d v → d t v = d y d t = 3 + 10 t - 2 At t = 0 velocity v = - 17 m s - 1 a = d v d t = 10 m s - 2 y = 3 t - 2 + 5 t - 2 2 At the value of y will be y = 3 2 - 2 + 5 2 - 2 2 therefore y = 0

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