Answer:
[tex]a = -16 m/s^2[/tex]
Explanation:
As we know that the initial speed of the particle when it enters the nozzle is given as
[tex]v_i = 10 m/s[/tex]
after travelling the distance d = 3 m it will have its final speed as
[tex]v_f = 2 m/s[/tex]
now we know that when acceleration is constant the equation of kinematics is applicable
so we will have
[tex]v_f^2 - v_i^2 = 2 a d[/tex]
[tex]2^2 - 10^2 = 2(a)(3)[/tex]
[tex]a = -16 m/s^2[/tex]
