Question

# Position vector of a particle at time = t sec is given by (3t2)^i+(4t)^j+(12)^k m. Choose the correct option(s).

A
Initially the particle is in the xy plane
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B
Initial velocity of the particle is (4^j)m/s
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C
At time t=1s acceleration of the particle is 6 m/s2 along x axis
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D
Acceleration of the particle is constant
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Solution

## The correct options are B At time t=1s acceleration of the particle is 6 m/s2 along x axis C Acceleration of the particle is constant D Initial velocity of the particle is (4^j)m/s A: Because of k component, velocity is in z-direction also.B: Differentiate to get →v=6t^i+4^jThus at t=0,v=4^jC: Double differentiate to get →a=6^iThus at t=1,a=6^iD: As found in part C, acceleration is independent of time.

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