Step-by-step explanation
According to law of conservation of momentum
m1u1 + m2u2 = (m1+m2)v
m1 is mass of the man 75kg
u1 is the velocity of the man 0m/s
m2 is the mass of the ball = 4kg
u2 is the velocity of the ball = 3.5m/s
We are to find v
Substitute
75(0)+4(3.5) = (75+4)v
0 + 14 = 79v
v = 14/79
v = 0.177m/s
Hence his resulting velocity will be 0.177m/s