A $10-kg$ meteor and a $1000-kg$ spacecraft have the indicated absolute velocities just before colliding. The meteor punches a hole entirely through the spacecraft. Instruments indicate that the velocity of the meteor relative to the spacecraft just after the collision is $(1880$vec$()+6898j\frac{m}{s}.$ Determine:

a$.$ the direction of the absolute velocity of the spacecraft after the collision,

b$.$ the direction of the absolute velocity of the meteor after the collision,

c$.$ the percentage change in kinetic energy of the satellite, and

d$.$ the percentage change in kinetic energy of the meteor.