The maximum speed of a boat in still water is | vedclass

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Question

(A) The velocity of the boat with respect to the ground is the sum of the boat's speed in still water and the river's flow speed: $v_b = 27 \,km/h + 9

Vedclass · Accepted Answer

$2000$

Vedclass · Answer

(A) The velocity of the boat with respect to the ground is the sum of the boat's speed in still water and the river's flow speed: $v_b = 27 \,km/h + 9 \,km/h = 36 \,km/h$.Converting this to $m/s$: $v_b = 36 	imes \frac{5}{18} = 10 \,m/s$.Since the ball is thrown vertically upwards from the moving boat,its horizontal velocity relative to the ground is equal to the velocity of the boat,$v_x = 10 \,m/s$.The time of flight $T$ for a ball thrown vertically with initial vertical velocity $u_y = 10 \,m/s$ is given by $T = \frac{2u_y}{g} = \frac{2 	imes 10}{10} = 2 \,s$.The horizontal range $R$ as observed by an observer on the bank is $R = v_x 	imes T = 10 \,m/s 	imes 2 \,s = 20 \,m$.Converting the range to centimeters: $R = 20 \,m = 2000 \,cm$.

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