The magnitude of the acceleration of the particle is 5 m/s².
Acceleration of the man
The acceleration of the man is calculated as follows;
Resistive force on the man is calculated as follows;
Ff = 2 N/kg x 3 kg
Ff = 6 N
F - Ff = ma
21 - 6 = 3 a
15 = 3a
a = 15/3
a = 5 m/s²
Thus, the magnitude of the acceleration of the particle is 5 m/s².
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