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The acceleration of a particle is given ...

The acceleration of a particle is given by `vec(a) = [2 hat(i) + 6t hat(j) + (2pi^(2))/(9) cos ((pi t)/(3)) hat(k)] ms^(-2)`. The initial conditions are `vec(r ) (0) = x(0)hat(i) + y(0) hat(j) + z(0) hat(k) = vec(0), vec(v) (0) = (2 hat(i) + hat(j)) ms^(-1)` wher
`vec(v) (0) = (d hat(i) (0))/(dt) = (dx (0))/(dt) hat(i) + (dy(0))/(dt) hat(j) + (dz(0))/(dt) hat(k)` The position vector at t= 2 s is

A

`(3 hat(i) + 8hat(j) + 10 hat(k))`

B

`(8 hat(i) + 10 hat(j) + 3hat(k))`

C

`(10 hat(i) + 3hat(j) + 8hat(k))`

D

`(3 hat(i) + 10 hat(j) + 8 hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
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