A bullet fired at an angle of `30^@` with the horizontal hits the ground 3.0 km away. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to the fixed, and neglect air resistance.

A police van moving on a highway with a speed of 30 km h_ 1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 km h^-1 . If the muzzle speed of the bullet is 150 m s^1 with what speed does the bullet hit the thief’s car ? (Note: Obtain that speed which is relevant for damaging the thief’s car).

A police van moving on a highway with speed 30 kmh^-1 fires a bullet at a theif's car speeding away in the same direction with a spped of 190 kmh^-1 . If the muzzle spped of the bullet is 360kmh^-1 , with what speed does the bullet hit the thief's car?

A police van moving on a highway with speed 30 kmh^-1 fires a bullet at a theif's car speeding away in the same direction with a spped of 192 kmh^-1 . If the muzzle spped of the bullet is 150ms^-1 , at what speed does the bullet hit the thief's car?

A fighter plane flying horizontally at an altitude of .1.5 km with speed 720 km/h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s^-1 to hit the plane? At what minimum altitude should the pilot fly the plane to avoid being hit? (Take g = 10 m s^-2) .

An aeroplane flying horizontally at a height of 1.5 km above the ground is observed at a certain point on the earth to subtend an angle 60°. After 15 second its angle of elevation is observed to be 30°. Calculate the speed of aeroplane in Km/h.

An engine of weight one metric ton is going up an inclined plane ,making an angle 30°with the horizental at the rate of 36 Km h^-1 .If the co-efficient of frinction is 0.6.calculate the power of engine in KW

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km h ^-1 . Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km h^-1 . What is the average speed of the man over the interval of time (i) 0 to 30 min, (ii) 0 to 50 min, (Hi) 0 to 40. min? [Note: You will appreciate from this exercise why . it is better to define average speed as total path length divided by time, and not as magnitude of average velocity. You would not like to tell the tired man on his return home that his average speed was zero!]

Thief's car is moving with a speed of 10m/s . A police van chasing the car with a speed of 5 ms^-1 fires a bullet at the thief's car with muzzle velocity 72km/h. The speed with which the bullet hits the car is

A car of weight 1000 kg moves with a uniform speed of 36Km/hr up an inclined road.The inclined road makes an angle of 30°with the horizontal.Neglecting friction,Calculate the power of the engine of the car.