Home
Class 12
PHYSICS
A jet plane flying at a constant velocit...

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

1440 km`//`h

B

960km`//`h

C

1920km`//`h

D

480km`//`h

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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^(@) ?

When a particle is projected at some angle with the horizontal, the path of the particle is parabolic. In the process the horizontal velocity remains constant but the magnitude of vertical velocity changes. At any instant during flight the acceleration of the particle remains g in vertically downward direction. During flight at any point the path of particle can be considered as a part of circle and radius of that circle is called the radius of curvature of the path Consider that a particle is projected with velocity u=10 m//s at an angle theta=60^(@) with the horizontal and take value of g=10m//s^(2) . Now answer the following questions. The radius of curvature of path of particle at the instant when the velocity vector of the particle becomes perpendicular to initial velocity vector is

On a frictionless horizontal surface , assumed to be the x-y plane , a small trolley A is moving along a straight line parallel to the y- axis ( see figure) with a constant velocity of (sqrt(3)-1) m//s . At a particular instant , when the line OA makes an angle of 45(@) with the x - axis , a ball is thrown along the surface from the origin O . Its velocity makes an angle phi with the x - axis and it hits the trolley . (a) The motion of the ball is observed from the frame of the trolley . Calculate the angle theta made by the velocity vector of the ball with the x- axis in this frame . (b) Find the speed of the ball with respect to the surface , if phi = (4 theta )//(3) .

On a frictionless horizontal surface , assumed to be the x-y plane , a small trolley A is moving along a straight line parallel to the y -axis( see figure) with a constant velocity of (sqrt(3)-1) m//s . At a particular instant , when the line OA makes an angle of 45(@) with the x - axis , a ball is thrown along the surface from the origin O . Its velocity makes an angle phi with the x -axis and it hits the trolley . (a) The motion of the ball is observed from the frame of the trolley . Calculate the angle theta made by the velocity vector of the ball with the x -axis in this frame . (b) Find the speed of the ball with respect to the surface , if phi = (4 theta )//(3) .

When a particle is projected at some angle with the horizontal, the path of the particle is parabolic. In the process the horizontal velocity remains constant but the magnitude of vertical velocity changes. At any instant during flight the acceleration of the particle remains g in vertically downward direction. During flight at any point the path of particle can be considered as a part of circle and radius of that circle is called the radius of curvature of the path Consider that a particle is projected with velocity u=10 m//s at an angle theta=60^(@) with the horizontal and take value of g=10m//s^(2) . Now answer the following questions. The magnitude of acceleration of particle at that instant is

When a particle is projected at some angle with the horizontal, the path of the particle is parabolic. In the process the horizontal velocity remains constant but the magnitude of vertical velocity changes. At any instant during flight the acceleration of the particle remains g in vertically downward direction. During flight at any point the path of particle can be considered as a part of circle and radius of that circle is called the radius of curvature of the path Consider that a particle is projected with velocity u=10 m//s at an angle theta=60^(@) with the horizontal and take value of g=10m//s^(2) . Now answer the following questions. Tangential acceleration of particle at that instant is

A person walks at a velocity v in a straight line forming an angle theta with the plane of a plane mirror. With what velocity v_(rel) the apporaches his image ?

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 . (a) Find the condition for A and B to collide. (b) Find the time after which A and B will collide if separation between them is d at t = 0 . .

The angle of elevation of a jet plane from a point A on the ground is 60o . After a flight of 30 seconds, the angle of elevation changes to 30o . If the jet plane is flying at a constant height of 3600sqrt(3)m , find the speed of the jet plane.

A particle of mass m moves in the XY plane with constant velocity v along the straight line PQ as shown in the figure. Its angular momentum with respect to origin O is( theta is angle between vec v and x-axis)