Change in kinetic energy determines change in speed via KE formula

Steps:

• Use ΔKE = ½ m (v_f² - v_i²), so v_f² = v_i² + (2 ΔKE / m).
• Compute 2 ΔKE / m = 2 × (3.0 × 10⁴) / 1500 = 60,000 / 1500 = 40 m²/s².
• v_i = 5 m/s, so v_i² = 25 m²/s²; thus v_f² = 25 + 40 = 65 m²/s².
• v_f = √65 ≈ 8.06 m/s, so Δv = v_f - v_i ≈ 8.06 - 5 = 3.06 m/s (not matching options).

Why B is correct:

• Not applicable; calculation yields ~3 m/s using the kinetic energy formula ΔKE = ½ m (v_f² - v_i²).

Why the others are wrong:

• A is closest but overestimates by ignoring exact square root calculation.
• C and D greatly overestimate, possibly from confusing with final speed or misapplying formula without initial velocity.

Not enough information to match given options; likely problem error in numbers. Final answer: None