Two particles $P_1$ and $P_2$ are moving with velocities $v_1$ and $v_2$ respectively. Which of the statement about their relative velocity $v_{12}$ is true?
$v_{12} > (v_1 + v_2)$
$v_{12}$ cannot be greater than $v_1 -v_2$
$v_{12}$ cannot be greater than $v_1 + v_2$
$v_{12} < (v_1 + v_2)$
A man sitting in a bus travelling in a direction from west to east with a speed of $40 \,km/h $observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear
The stream of a river is flowing with a speed of $2\,km/h.$ A swimmer can swim at a speed of $4\,km/h.$ ....... $^o$ should be the direction of the swimmer with respect to the flow of the river to cross the river straight .
The rebound coefficient between a tennis ball and a racket is defined as $g = v_2/ v_1$, where $v_1$ is the incoming speed of the ball and $v_2$ is the speed of the ball after rebound while the racket is at rest. A tennis ball falls from height $H$ to a racket at rest and bounces back to $0.8\ H. A$ tennis player is using the racket to hit an incoming tennis ball traveling at $150\ km/hr$ and the racket is moving at $100\ km/hr$. What is the speed of the ball after being hit? (Assume the mass of the racket >> that of the ball)..........$km/hr$
A glass wind screen whose inclination with the vertical can be changed is mounted on a car. The car moves horizontally with a speed of $2\,\,m/s$. At what angle $\alpha$ with the vertical should the wind screen be placed so that the rain drops falling vertically downwards with velocity $6\,\, m/s$ strike the wind screen perpendicularly.
A swimmer crosses a river of width $d$ flowing at velocity $v$. While swimming, he heads himself always at an angle of $120^{\circ}$ with the river flow and on reaching the other end he finds a drift of $d / 2$ in the direction of flow of river. The speed of the swimmer with respect to the river is