Find the resultant of two velocities 4 m/sec and 6 m/sec inclined to one another at an angle of `120^@`.

A particle has two velocities of equal magnitude inclined to each other at angle theta . If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then theta is (A) 120^0 (B) 45^0 (C) 60^0 (D) 90^0

Two equal forces (P each) act at a point inclined to each other at an angle of 120^@ . The magnitude of their resultant is

A ship is moving due east with a velocity of 12 m/ sec, a truck is moving across on the ship with velocity 4 m/sec. A monkey is climbing the vertical pole mounted on the truck with a velocity of 3m/sec. Find the velocity of the monkey as observed by the man on the shore

[" 12.A stationary man observes that the rain strikes him at an angle of "60^(@)],[" to the horizontal.When he begins to move with a velocity of "25m/sec" ,"],[" then the drops appear to strike him at an angle "30^(@)" from horizontal."],[" Calculate the velocity of the rain drops."],[" Ans."25m/sec" ."]

Two cars A and B are at rest at same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with constant acceleration of 4m//s^(2) , then B will catch A after :

A projectile si thrown with velocity of 50m//s towards an inclined plane from ground such that is strikes the inclined plane perpendiclularly. The angle of projection of the projectile is 53^(@) with the horizontal and the inclined plane is inclined at an angle of 45^(@) to the horizonta.. (a) Find the time of flight. (b) Find the distance between the point of projection and the foot of inclined plane.

A body of mass 2 kg moving with a velocity of 3 m/sec collides head on with a body of mass 1 kg moving in opposite direction with a velocity of 4 m/sec. After collision, two bodies stick together and move with a common velocity which in m/sec is equal to

A bus is moving rightward with a velocity of 15m//sec and on the bus a monkey is renning oppositely with a velocity of 5m//sec( with respect to the bus ) . Nearby a helicopter is rising vertically up with a velocity of 10m//sec. Find out the direction of the helicopter as seen by the monkey.

A body is executing S.H.M. when its displacement from the mean position is 4 cm and 5 cm, the corresponding velocity of the body is 10 cm/sec and 8 cm/sec. Then the time period of the body is

A body moving along a straight line traversed one third of the total distance with a velocity 4 m//sec in the first stretch. In the second stretch, the remaining distance is covered with a velocity 2 m//sec for some time t_(0) and with 4 m//s for the remaining time. If the average velocity is 3 m//sec , find the time for which body moves with velocity 4 m//sec in second stretch: