Consider a body of mass 1.0 at rest at the origin at time `t = 0`. A force `vec F=(alpha t hat l +beta hat J) ` is applied on the body, where `alpha =1.0 Ns^(-1) and beta =1.0 N`. The torque acting on the body about the origin at time `t=1.0 s " is " vec tau` . Which of the following statements is (are) true?

Options

A. )|T |=-Nm
B. The torque T* is in the direction of the unit A vector + k
C. The velocity of the body at t =Is is `oversetrarrv=1/2(hati+2hatj)ms^(-1)`
D. The magnitude of displacement of the body at £ = Is is 1/6m