two cars A and B accelerate in the ratio of 2:3 respectively. if they both accelerate for equal time, the ratio of their change in velocity is

2:3

Explanation:

Average acceleration is the change in velocity over change in time:

a = Δv / Δt

If the times for both cars are equal, then the acceleration is proportional to the change in velocity.

a ∝ Δv

So if the ratio between the accelerations is 2:3, then the ratio between the changes in velocity is also 2:3.