A boat is sent across a river with a velocity of 8 km h⁻¹. If the resultant velocity of boat is 10 km h⁻¹, then velocity of river is (a) 12.8 km h⁻¹ (b) 6 km h⁻¹ (c) 8 km h⁻¹ (d) 10 km h⁻¹

Answer: (b). Boat velocity 8 km/h is perpendicular to the river flow. vres² = vb² + vr² ⇒ vr = √(10² - 8²) = 6 km/h So the answer is (b).

A boat is sent across a river with a velocity of 8 km h⁻¹. If the… | NEET 1994 (AIPMT)

Q30NEET 1994 · AIPMTEasy

Relative Velocity in Two Dimensions

A boat is sent across a river with a velocity of $8\text{ km h}^{-1}$ . If the resultant velocity of boat is $10\text{ km h}^{-1}$ , then velocity of river is

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Answer: (b)

Boat velocity $8\text{ km/h}$ is perpendicular to the river flow.
$v_{res}^2 = v_b^2 + v_r^2 \Rightarrow v_r = \sqrt{10^2 - 8^2} = 6\text{ km/h}$
So the answer is (b).

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Relative Velocity in Two Dimensions question from NEET 1994 (AIPMT)

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