Question

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:

Answer 1

Let the Acceleration of Car A and B be a₁ and a₂.

∴ a₁/a₂ = 2/3

Using the Relation,

v - u = at

For Car A,

v₁ - u₁ = a₁t  ---eq(i)

For Car B,

v₂ - u₂ = a₂t  ----eq(ii)

Dividing the equation 1 by 2.

∴ (v₁ - u₁)/(v₂ - u₂) = a₁t/a₂t

⇒ (v₁ - u₁)/(v₂ - u₂) = 2/3

∴ The Ratio of the Change is velocity is also the 2/3, which is same as that of the acceleration.

Hope it helps.

Answer 2

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Your answer is in attachment ...

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