A bird flies in a straight line from point (2,1,1) to (4,2,3). if the speed of the bird is 5m/s, then the velocity vector of the bird is

A bird moves from point (1, -2) to (4, 2) . If the speed of the bird is 10m//sec , then find the velocity vector of the bird ?

A bird moves from point (1 m, -2 m, 3 m) to (4 m, 2 m, 3 m) . If the speed of the bird is 10 m//s , then the velocity vector of the bird in m//s is:

A fish rising vertically to the surface of water in a lake uniformly at the rate of 3ms^(-1) observes a bird diving vertically towards the water at a rate of 9ms^(-1) vertically above it. If the refractive index of water is 4/3 the actual velocity of the dive of the bird is (in ms^(-1) )

A bird flies to and fro between two cars wich move with velocities v_(1) and v_(2) , If the speed of the bird is v_(3) and the initial distance ofseparation between then is d , find the total distance covered bythe bird till the cars meet. .

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45o . It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30o . Then the speed (in m/s) of the bird is (1) 40(sqrt(2)-1) (2) 40(sqrt(3)-2) (3) 20""sqrt(2) (4) 20(sqrt(3)-1)

Straight lines are drawn by joining m points on a straight line of n points on another line. Then excluding the given points, the number of point of intersections of the lines drawn is (no tow lines drawn are parallel and no these lines are concurrent). a. 4m n(m-1)(n-1) b. 1/2m n(m-1)(n-1) c. 1/2m^2n^2 d. 1/4m^2n^2

A particle starts to move in a straight line from a point with velocity 10 m s^(-1) and acceleration - 2.0 m s^(-2) . Find the position and velocity of the particle at (i) t = 5 s, (ii) t' = 10 s.

A particle moves in a straight line with constant speed of 4 m//s for 2 s, then with 6 m//s for 3 s. Find the average speed of the particle in the given time interval.

A bird flies from (-3m, 4m, -3 m) to (7m, -2m, -3m) in the xyz-coordinates. The bird's displacement vector is given by

Two trains are approaching each other on the same track with velocity 100 km/h and 50 km/h. When they are at a distance of 300 km from each other, a bird starts flying from train 1 towards train 2. When the bird reaches train 2, it instantly reverses its direction and flies again towards train 1. This process continues till the bird is trapped between the trains when they collide. If the bird always travels at a constant speed 200 km/h, the total distance the bird flies is: