Change in momentum equals mass times change in velocity

Steps:

• Identify initial velocity as 25 m/s and final velocity as 35 m/s.
• Compute change in velocity: 35 m/s - 25 m/s = 10 m/s.
• Recall momentum change formula: Δp = m × Δv.
• Calculate: 750 kg × 10 m/s = 7500 kg m/s.

Why A is correct:

• By definition, change in momentum is mass times change in velocity (Δp = mΔv), using the given speeds directly.

Why the others are wrong:

• B: Incorrectly uses a velocity change of 32 m/s (750 × 32 = 24,000), not the actual 10 m/s.
• C: Uses a velocity change of 6 m/s (750 × 6 = 4,500), underestimating the speed increase.
• D: Applies a velocity change of 100 m/s (750 × 100 = 75,000), far exceeding the 10 m/s difference.

Final answer: A