The problem can be solved from conservation of momentum
mass of man = 75.4 kg
initial velocity of man = 0 m/s
mass of ball = 18.3 kg
initial speed of ball = 4.3 m/s
final speed of ball = 2.1 m/s (in opposite direction)
let velocity of man after collision be v
75.4*0 + 18.3*4.3 = 18.3*-2.1 + 75.4*v
v=1.55 m/s
kinetic energy of system before collision = 0.5*75.4*02+0.5*18.3*4.32 = 169.2 J
kinetic energy of system after collision = 0.5*75.4*1.552+0.5*18.3*2.12 = 130.93 J
Since the kinetic energy of system was lost after collision, the collision is inelastic
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