Suppose AS and B in the previous problem change their positions in such a way that the line joining them becomes perpendicular to the direction of wind while maintaining the separation x. What will be the time lag B finds betweenseeing and hearing the drum beating by A?

Two friends A and B are standing a distance x apart in an open field and wind is blowing from A to B. A beats a drum and B hears the sound t_1 timed after he sees the event. A and B interchange their positions and the experiment is repeated. The velocity of sound in still air is v and the velocity of wind is u . This time B hears the drum t_2 time after he sees the event. Suppose A and B change their positions in such a way that the line joining them becomes perpendicular to the direction of wind while maintaining the separation x . What will be the time lag B finds between seeing and hearing the drum beating by A?

Two friends A and B are standing a distance x apart in an open field and wind is blowing in a direction perpendicular to .the line joining AB. A beats a drum and finds a time lag between seeing and hearing the drum beating by A. Find this time lag.

If p be the length of the perpendicular from the origin on the straight line ax+by=p and b=sqrt(3)/2 , then what is the angle between the perpendicular and the positive direction of x-axis ?

Suppose the rod with the balls A and B of theprevious problem is clamped at the centre in such a way that it ca rotate freely about a horizontal axis through the clamp. The system is kept at rest in the horizontal position. A particle P of the same mass m is dropped from a heigh h hon the ball B. The particle collides with B and sticks to it. a. Find the angular momentum and the angular speed of the system just after the collision. b. What should be the minimum value of h so that the system makes a full rotation after the collision.

Suppose the rod with the balls A and B of theprevious problem is clamped at the centre in such a way that it ca rotate freely about a horizontal axis through the clamp. The system is kept at rest in the horizontal position. A particle P of the same mass m is dropped from a heigh h hon the ball B. The particle collides with B and sticks to it. a. Find the angular momentum and the angular speed of the system just after the collision. b. What should be the minimum value of h so that the system makes a full rotation after the collision.

Two friends A and B are standing a distance x apartin an open field and wind is blowing from A to B.A beats a drum and B hears the sound t_1 timed after he sees the event. A and B intechange their positions and te experiment is repeated. This time B hears teh drum t_2 time after he sees the event. Calculte teh velocity of sound in still air v and the velocity of wind u. Neglect the tiem light takes in travelling between the friends.

Two friends A and B are standing a distance x apartin an open field and wind is blowing from A to B.A beats a drum and B hears the sound t_1 timed after he sees the event. A and B intechange their positions and te experiment is repeated. This time B hears teh drum t_2 time after he sees the event. Calculte teh velocity of sound in still air v and the velocity of wind u. Neglect the tiem light takes in travelling between the friends.

Two friends A and B are standing a distance x apartin an open field and wind is blowing from A to B.A beats a drum and B hears the sound t_1 timed after he sees the event. A and B intechange their positions and te experiment is repeated. This time B hears teh drum t_2 time after he sees the event. Calculte teh velocity of sound in still air v and the velocity of wind u. Neglect the tiem light takes in travelling between the friends.

A particle moves in a plane such that its coordinates changes with time as x = at and y = bt , where a and b are constants. Find the position vector of the particle and its direction at any time t.