The time dependence of the position of a particle of mass m = 2 is given by r → t = 2 t i ^ - 3 t 2 j ^ . Its angular momentum, with respect to the origin, at time t = 2 is:

Step-by-step solution

r → = 2 t   i ^ - 3 t 2   j ^ v → = 2   i ^ - 6 t   j ^ Momentum p → = m v → = 4   i ^ - 12 t   j ^ ∴ angular momentum L → = r → × p → = 2 t   i ^ - 3 t 2   j ^ × 4   i ^ - 12 t   j ^ = - 24 t 2   k ^ + 12 t 2   k ^ = - 12 t 2   k ^ At time t = 2 L → = - 48   k ^