Question Detail
Question
A modern car can develop an acceleration four times greater than an antique car. If they accelerate through 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 the kinematic equation v² = u² + 2as. Starting from rest (u=0), v² = 2as. So v ∝ √a. If acceleration is 4 times greater, v ∝ √4 = 2. Therefore, the modern car's velocity will be twice as much as the antique car's velocity.
Hint
For constant acceleration from rest, final velocity is proportional to the square root of acceleration when distance is fixed.