A jet plane flying at a constant velocity v at a height h = 8 km is being tracked by a radar R located at O directly below the line of flight . If the angle `theta` is decreasing at the rate of 0.025rad`//`s, the velocity of the plane when `theta = 60^(@)` is

A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad//s . The spot of light P move along the wall at a disatnce 3 m . What is the velocity of the spot P when theta = 45^(@) ?

A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad//s . The spot of light P move along the wall at a disatnce 3 m . What is the velocity of the spot P when theta = 45^(@) ?

A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad//s . The spot of light P move along the wall at a disatnce 3 m . What is the velocity of the spot P when theta = 45^(@) ?

Two particles A and B are moving with constant velocities v_1 and v_2 . At t = 0 , v_1 makes an angle theta_0 with the line joining A and B and v_2 makes an angle theta_2 with the line joining A and B . Find their velocity of approach. .

A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad // s. The spot of light P moves along the wall at a distance 3m. What is the velocity of the spot P when theta=45^(@) ?

An aeroplane flying along the horizontal at a velocity v_(0) starts to ascend, describing a circle in the vertical plane. The velocity of the plane changes with height h above the initial level of motion according to the law v^(2) = v_(0)^(2) - 2a_(0)h . The velcity of the plane at the upper point of the trajectory is v_(1) = v_(0)//2 . Determine the acceleration a of the plane at the moment when its velocity is directed vertically upwards.

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

The angle of elevation of a jet plane from a point P on the ground is 60°.After a flight of 15 second the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 1500sqrt3 ,find the speed of the jet plane in km/ hr.