The position vector `vec(r)` of a particle of mass m is given by the following equation `vec(r) (t) = at^(3) hat(i) + beta t ^(2) hat(j) " where " alpha = 10//3 ms^(-3),beta = 5 ms^(-2) and m = 0 . 1 kg ` . At t = 1 s, which of the following statement (s) is (are) true about the particle ?

Options

A. The velocity `vec(v) ` is given by `vec(v) = (10 hat(i) + 10 hat (j) ) ms^(-1)`
B. The angular momentum `vec(L)` with respect to the origin is givne by `vec(L) = - (5 //3 ) hat(k) N ms `
C. the force `vec(F) ` is given bt `vec(F) = (hat(i) + 2 hat(j))` N
D. The torque `vec(r)` with respect to the origin is given by `vec(r) = - (20 //3) hat(k) Nm`

Answer

A, B, D