Thief's car is moving with a speed of $10\,m/s$. A police van chasing this car with a speed of $5\,m/s$ fires a bullet at the thief's car with muzzle velocity $72\,km/h$. Find the speed with which the bullet with hit the car.............$m/s$

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 man standing on a road hold his umbrella at $30^° $ with the vertical to keep the rain away. He throws the umbrella and starts running at $10\, km/hr$. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be......... $km/hr$

A swimmer swims in still water at a speed $= 5\,\, km/hr$. He enters a $200\,\, m$ wide river, having river flow speed $= 4\,\, km/hr$ at point A and proceeds to swim at an angle of $127^o$ (sin $37^o = 0.6$) with the river flow direction.Another point $B$ is located directly across Aon the other side. The swimmer lands on the other bank at a point $C$, from which he walks the distance $CB$ with a speed $= 3\,\, km/hr.$ The total time in which he reachrs from $A$ to $B$ is..........$minutes$

A butterfly is flying with a velocity $4 \sqrt{2} \,{m} / {s}$ in North-East direction. Wind is slowly blowing at $1$ ${m} / {s}$ from North to South. The resultant displacement of the butterfly in $3\, seconds$ is $....\,{m}.$

A man is crossing a river flowing with velocity of $5\, m/s$. He reaches a point directly across at a distance of $60\, m$ in $5\, sec$. His velocity in still water should be........$m/s$