A 0.500 kg sphere moving with a velocity given by (2.001 2.90 + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with an initial velocity of (-1.00 + 2.00 2.60k) m/s. (a) The velocity of the 0.500 kg sphere after the collision is (-0.70 + 3.00 8.00k) m/s. Find the final velocity of the 1.50 kg sphere. m/s = Identify the kind of collision (elastic, inelastic, or perfectly inelastic). elastic inelastic O perfectly inelastic (b) Now assume the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.775 1.70k) m/s. Find the final velocity of the 1.50 kg sphere. m/s V = Identify the kind of collision. O elastic O inelastic O perfectly inelastic (c) Take the velocity of the 0.500 kg sphere after the collision as (-1.00 +3.10j + ak) 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 positive value and a negative value. Report each with their corresponding final velocities.) km/s a (positive value) km/s a (negative value) 2f 2f =