Newton's Second Law and Kinematic Equation for Velocity

Steps:

• Identify force F = 1600 N and mass m = 800 kg.
• Calculate acceleration a = F / m = 1600 / 800 = 2 m/s².
• Note initial velocity u = 0 m/s and time t = 4 s.
• Calculate final velocity v = u + a t = 0 + 2 × 4 = 8 m/s.

Why D is correct:

• Matches a = 2 m/s² from F = ma and v = 8 m/s from v = u + at.

Why the others are wrong:

• A: Acceleration 0.50 m/s² miscalculates F/m; velocity 0.13 m/s is erroneous.
• B: Acceleration 0.50 m/s² miscalculates F/m; velocity 2.0 m/s underestimates a t.
• C: Identical to D but listed separately, possibly a formatting error.

Final answer: D