Point A moves uniformly with velocity `nu` so that the vector `v` is continually "aimed" at point B which in its turn moves rectilinearly and uniformly with velocity `upsilon lt nu`. At the initial moment of time `v_|_u` and the points are separated by a distance `l`. How soon will the points converge?

A ball is dropped freely while another is thrown vertically downward with an initial velocity v from the same point simultaneously. After t second they are separated by a distance of

Two points of a rod move with velocity 3 v and v perpendicular to the rod and in the same direction. Separated by a distance r . Then the angular velocity of the rod is :

A point moves rectilinearly with deceleration which depends on the velocity v of the particle as a = k sqrtv , where is apositive constant. At the initial moments the velocity of the point is equal to v_(0) . What distance will it cover before it stops, and what time it will take to cover that distance.

A point moves rectilinearly with deceleration whose modulus depends on the velocity v of the particle as w=asqrtv , where a is a positive constant. At the initial moment the velocity of the point is equal to v_0 . What distance will it traverse before it stops? What time will it take to cover that distance?

A point moves with decleration along the circle of radius R so that at any moment of time its tangential and normal accelerations are equal in moduli. At the initial moment t=0 the velocity of the point equals v_0 . Find: (a) the velocity of the point as a function of time and as a function of the distance covered s_1 , (b) the total acceleration of the point as a function of velocity and the distance covered.

A point moves along a circle with a velocity v=t//2 . Find the acceleration of the point at the moment when it has covered a quarter circle from the beginning of motion.

Three points are located at the vertices of an equilateral triangle each of whose sides measure a. They all start simultaneously with speed v, each aiming at the next in order. How soon will the points converge ?

Three points are located at the vertices of an equilateral triangle each of whose sides measure a. They all start simultaneously with speed v, each aiming at the next in order. How soon will the points converge ?

The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point of the train passes the same point is