Question Detail
Question
A modern car can develop an acceleration four times greater than an antique car like 'Lanchester 1800' if they accelerate over the same distance, what would be the velocity of the modern car compared to the antique car?
Correct Answer
Option C is the correct answer.
Detailed Explanation
Using v² = u² + 2as, starting from rest (u=0), v = √(2as). If acceleration is 4 times, v ∝ √a, so v_modern = √(4a) = 2√a = 2v_antique. So velocity is twice as much.
Hint
For constant distance from rest, v ∝ √a.