A girl of mass $50\, kg$ jumps out of a moving boat of mass $300\, kg$ on to the bank with a horizontal velocity of $3\, m s ^{-1}$. With, what velocity, does the boat begin to move backwards ?
Here, $m_{1}=50 kg , m_{2}=300 kg$
$v_{1}=3 m s ^{-1}$
$v_{2}=?$
$m_{1} v_{1}+m_{2} v_{2}=0$
$50 \times 3+300 \times v_{2}=0$
$300 v_{2}=-150$
$v_{2}=-\frac{150}{300}$
$=-0.5 m s ^{-1}$
Negative sign is for backward motion of the boat
An object starting from rest travels $20\, m$ in first $2\,\sec $ and $160\, m$ in next $4\,\sec $. What will be the velocity after $7\,\sec $ from the start ?
Under what condition will the displacement and distance have the same magnitude ?
All buses and cars these days are fitted with a speedometer, which shows the velocity of the vehicle. A device called odometer records the distance moved by the vehicle. If the reading on the odometer of a vehicle in the beginning of a trip and after $40$ minutes were $1048\, km$ and $1096\, km$ respectively, calculate its average velocity. Will the reading on the speedometer show this velocity when the vehicle is moving ? Support your answer with reason.
Explain with reason, which of the following graphs can possibly represent the motion of a particle observed in nature ?
Name the physical quantity which corresponds to the rate of change of momentum.