Question

The velocity of a particle v = V₀ + gt + ft² . If Its position is x = 0, at t = 0 ,then its displacement after unit time (t = 1) is [AIEEE 2007] ​

Answer 1

Explanation :- Given , v = V ₀ + gt + ft²

After differentiating with respect to time , we get

• dx/dt = V₀+gt +ft²
• => dx = (V₀+ gt + ft²)dt
• so, ₀∫ˣdx = ₀∫¹(V₀+ gt +ft²)dt
• => x = V₀+ g/2+f/3 Answer

Since vertical component of velocity is zero .

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