Question Detail

PHY 101 PHY 101 Past Questions Objective Question

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?
Options
A Half as much
B The same
C Twice as much
Correct Answer
D Four times as much
Correct Answer

Option C is the correct answer.

Detailed Explanation

Using v² = u² + 2as, with u=0, v ∝ √a. If a_modern = 4 a_antique, then v_modern = √4 v_antique = 2 v_antique. So twice as much.

Hint

Final speed squared is proportional to acceleration when distance is constant.

Question Info