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A bullet of mass M is fired with a veloc...

A bullet of mass M is fired with a velocity `50m//s` at an angle with the horizontal. At the highest point of its trajectory, it collides head-on with a bob of mass 3M suspended by a massless string of length `10//3` metres and gets embeded in the bob. After the collision, the string moves through an angle of `120^@`. Find
(i) the angle `theta`,
(ii) the vertical and horizontal coordinates of the initial position of the bob with respect to the point of firing of the bullet. Take `g=10 m//s^2`

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