A motor boat is to reach at a point `30^@` upstream on other side of the river flowing with velocity `5m//s` The velocity of motor boat with respect to water is `5sqrt3 m//s` . At what angle the driver should steer the boat ?

A bus starts from rest with a constant acceleration of 5m/s^2 . At the same time , a car travelling with a constant velocity of 50m/s overtakes and passes the bus ,find (i)at what distance will the bus overtake the car ? (ii)How fast will the bus overtakes the car after distance S metres.

A machine gun of mass 15 kg fires 30g bullets at the rate of 5 bullets per second with a velocity of 500 m/s. What force in newton's must be applied to the gun to hold in position ?

A figher plane flying horizontal at an altitude of 1.5 km with a speed of 720 km/h passed directly overhead an anti-aircraft gun. At what angle from the vertical shoud the gum be fired for the shell with muzzle velocity of 600 m/s to hit the plane ? At what minimum altitude should the pilot fly to avoid being hit ? g= 9.8 m/ s^2