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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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: $R = 20 \,m = 2000 \,cm$.

Similar Questions

$A$ motorboat covers a given distance in $6 \,h$ moving downstream on a river. It covers the same distance in $10 \,h$ moving upstream. The time it takes to cover the same distance in still water is (in $\,h$)

Car $A$ is moving to the East with a speed of $30 \text{ km/h}$, and car $B$ is moving to the North with the same speed. What is the velocity of car $B$ as measured from car $A$?

$A$ swimmer wants to cross a $200 \ m$ wide river which is flowing at a speed of $2 \ m/s$. The velocity of the swimmer with respect to the river is $1 \ m/s$. How far from the point directly opposite to the starting point does the swimmer reach the opposite bank (in $m$)?

On a calm day,a boat can go across a lake and return in time $T_0$ at a speed $V$. On a rough day,there is a uniform current at speed $v$ that helps the onward journey and impedes the return journey. If the time taken to go across and return on the rough day is $T$,then $T / T_0$ is:

Out of the two cars $A$ and $B$,car $A$ is moving towards the east with a velocity of $10 \, m/s$,whereas car $B$ is moving towards the north with a velocity of $20 \, m/s$. The velocity of $A$ with respect to $B$ is ......... $m/s$ (nearly).

Vedclass Test Series

Exam Paper Generator

Online Exam Module