Hi there!
[tex]\large\boxed{\text{50 seconds.}}[/tex]
Begin by calculating the acceleration on the object by using the formula
F = m · a (Newton's Second Law) where:
F = Force (N)
m = Mass (kg)
a = acceleration (m/s²)
Plug in the given values:
10 = 50 · a
10 = 50a
10 / 50 = a
a = 1/5 = 0.20 m/s²
Solve for the time using the kinematic equation:
Δv / a = t, or (vf - vi) / a = t
Plug in the acceleration along with the initial and final velocites into the equation:
(12 - 2) / 0.20 = 10 / 0.20 = 50 seconds.
