A boy is running along positive x - axis with `9 m//s`. While running he manages to throw a stone in a plane perpendicular to his direction of running with velocity `12 m//s` at an angle `30^@` with vertical. Find the speed of the stone at the highest point of the trajectory.

A man running with velocity 3m//s finds that raindrops are hitting him vertically with a speed of 4m//s . Magnitude of velocity of the raindrops is

A boy throws a stone with a speed of V_(0) = 10 m/sec at an angle of theta_(0)= 30^(@) to the horizontal Find the position of the stone wrt the point of projection just after a time t = 1/2 sec.

A boy throws a stone with a speed of V_(0) = 10 m/sec at an angle of theta_(0)= 30^(@) to the horizontal Find the position of the stone wrt the point of projection just after a time t = 1/2 sec.

A train is moving with a constant speed of 10m//s in a circle of radius 16/pi m. The plane of the circle lies in horizontal x-y plane. At time t = 0, train is at point P and moving in counter- clockwise direction. At this instant, a stone is thrown from the train with speed 10m//s relative to train towards negative x-axis at an angle of 37^@ with vertical z-axis . Find (a) the velocity of particle relative to train at the highest point of its trajectory. (b) the co-ordinates of points on the ground where it finally falls and that of the hightest point of its trajectory. (Take g = 10 m//s^2, sin 37^@ = 3/5

A train is moving with a constant speed of 10m//s in a circle of radius 16/pi m. The plane of the circle lies in horizontal x-y plane. At time t = 0, train is at point P and moving in counter- clockwise direction. At this instant, a stone is thrown from the train with speed 10m//s relative to train towards negative x-axis at an angle of 37^@ with vertical z-axis . Find (a) the velocity of particle relative to train at the highest point of its trajectory. (b) the co-ordinates of points on the ground where it finally falls and that of the hightest point of its trajectory. (Take g = 10 m//s^2, sin 37^@ = 3/5

A boy is standing on a cart moving along x -axis with the speed of 10 m//s . When the cart reaches the origin he throws a stone in the horizontal x-y plane, with the speed of 5 m//s with respect to himself at an angle theta with the x -axis. It is found that the stone hits a ball lying at rest at a point whose co-ordinates are (sqrt(3)m, 1m) . The value of theta=40^(@)xxC is (gravitational effect is to be ignored). Find the value of C .

A boy is standing on a cart moving along x -axis with the speed of 10 m//s . When the cart reaches the origin he throws a stone in the horizontal x-y plane, with the speed of 5 m//s with respect to himself at an angle theta with the x -axis. It is found that the stone hits a ball lying at rest at a point whose co-ordinates are (sqrt(3)m, 1m) . The value of theta=40^(@)xxC is (gravitational effect is to be ignored). Find the value of C .

A cart is moving along +x direction with a velocityof 4 m//s . A person on the cart throws a stone with a velocity of 6 m//s relative to himself. In the frame of reference of the cart the stone is thrown in y-z plane making an angle of 30^@ with vertical z-axis. At the highest point of its trajectory, the stone hits an object of equal mass hung vertically from the branch of a tree by means of a string of length L. A completely inelastic collision occurs, in which the stone gets embedded in the object. Determine : (i) The speed of the combined mass immediately after the collision with respect to an observer on the ground,

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. What is the speed of the projectile when it is at the highest point in its trajectory?