A 0.500 kg sphere moving with a velocity (2.00 - 3.10 + 1.00) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00 + 2.00 - 3.30) m/s.

(a) If the velocity of the 0.500 kg sphere after the collision is (-0.90 + 3.00 - 8.00) m/s, find the velocity of the 1.50 kg sphere and identify the kind of collision (elastic, inelastic, or perfectly inelastic).
( + + ) m/s
This is ______ collision.
an elastic
an inelastic
a perfectly inelastic



(b) If the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.725 - 2.23) m/s, find the final velocity of the 1.50 kg sphere and identify the kind of collision.
( + + ) m/s
This is ______ collision.
an elastic
an inelastic
a perfectly inelastic



(c) What if? If the velocity of the 0.500 kg sphere after the collision is (-1.00 + 2.90 + a) m/s, find the value of a and the velocity of the 1.50 kg sphere after an elastic collision. (Two values of a are possible, a negative value and a positive value. Report each with their corresponding final velocities.) a (positive value) m/s2 v2f = m/s
a (negative value) m/s2 v2f = m/s