Q 1 :    

A river is flowing from west to east direction with speed of 9 ${\mathrm{kmh}}^{–1}$. If a boat capable of moving at a maximum speed of 27 ${\mathrm{kmh}}^{–1}$ in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150° to direction of river flow, then the width of the river is :          [2025]

• 300 m

   

• 112.5 m

   

• 75 m

   

• $112.5\times \sqrt{3} \mathrm{m}$

   

Q 2 :    

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 river bank, is ______ cm.

(Take g = 10 $\mathrm{m}/{\mathrm{s}}^2$)          [2025]