) A position vector of a particle of 2kg mass at any time t is given by r =3ti+2t²j+t³k find at t =1 ...velocity and acceleration vectors,

b) the torque on the particle,

c) the kinetic energy,

d) Power,

e) Find the work done on the particle between t=0 and t=1

The simple interest on a loan of $200 at 10 percent interest per year is $10 per year until the loan is paid off. $15 per year until the loan is paid off. $20 per year until the loan is paid off. $25 per year until the loan is paid off.

To protect all four receptacles on a branch circuit that surrounds a swimming pool, you would install which of the following configurations? a. gfci feed-through receptacle at the end of the load's circuit b. gfci-terminated receptacle at the beginning of the load's circuit c. gfci feed-through receptacle at the beginning of the load's circuit and the other receptacles connected to the load side of that receptacle d. gfci-terminated receptacle at each end of the load's circuit

Aperson stands on a platform, initially at rest, that can rotate freely without friction. the moment of inertia of the person plus the platform is ip. the person holds a spinning bicycle wheel with its axis horizontal. the wheel has moment of inertia iw and angular velocity ωw. take the ωw direction counterclockwise when viewed from above. part a what will be the angular velocity ωp of the platform if the person moves the axis of the wheel so that it points vertically upward?