An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10.0 s apart is `30^@`, what is the speed of the aircraft ?

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclinationof the string with the ground is 60^@ . Find the length of the string, assuming that there is no slack in the string

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the sound is 60 ° . Find the length of the string, assuming that there is no slack in the string.

An aeroplane flying horizontally 1 km above the ground is observed at an elevation of 60o . After 10 seconds, its elevation is observed to be 30o . Find the speed of the aeroplane in km/hr.

A plance is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 below the sea level. What is the vertical distance between them?

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part is 1.0 m above the ground level and the top of the track is 2.4 m above the ground. Find the distance on the ground with respect to the point B (which is vertically ) below the end of the track as shown in figure. Where the sphere lands. During its flight as a projectile does the sphere continue to rotate about its centre of mass? Explain.

A rain drop of radius 2 mm falls from a height of 500 nr above the ground. It falls with decreasing acceleration (due to viscous resistance of the air) until at half its original height, it attains its maximum (terminal) speed, and moves with uniform speed thereafter. What is the work done by the gravitational force on the drop in the first and second half of its journey ? What is the work done by the resistive force in the entire journey if its speed on reaching the ground is 10 m s^-1 ?

A ball is thrown from a roof top at an angle of 45^@ above the horizontal. If hits the ground a few second later. At what point during its motion , does the ball have Smallest speed.

A ball is thrown from a roof top at an angle of 45^@ above the horizontal. If hits the ground a few second later. At what point during its motion , does the ball have Greatest speed.