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JEE Main 2025 (29 Jan, Shift 1) · Relative Velocity in Two Dimensions

Relative Velocity in Two Dimensions question from JEE Main 2025 (29 Jan, Shift 1)

Q6JEE Main 2025 · 29 JAN · SHIFT 1Medium

Relative Velocity in Two Dimensions

The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the bank is __________ cm. (Take $g = 10$ m/s2)

Numerical answer type. Work it out, then open the answer.

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Answer: 2000

Boat speed relative to bank (downstream) $= 27 + 9 = 36\text{ km/h} = 10\text{ m/s}$ ; ball shares it.
Time of flight $T = \frac{2u}{g} = \frac{2(10)}{10} = 2\text{ s}$
Range seen from bank $= 10 \times 2 = 20\text{ m} = 2000\text{ cm}$

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