Answer:
The value is [tex]v = 7.89 \ m/s[/tex]
Explanation:
From the question we are told that
The mass of the object is [tex]m = 0.414 \ kg[/tex]
The force is [tex]F = 2.08 \ N[/tex]
The time taken is [tex]t = 1.57 \ s[/tex]
Generally the force acting on the object according to Newton's second law is
[tex]F = \frac{ m (v -u )}{t}[/tex]
=> [tex]v = \frac{F * t}{m} + u[/tex]
Here u is the initial velocity with value 0 m/s since the object was initially at rest
[tex]v = \frac{2.08 * .57}{0.414 } + 0[/tex]
[tex]v = 7.89 \ m/s[/tex]