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  4. A projectile is moving at 20 m / s at its highest point, where it breaks into equal parts due to an internal explosion. One part moves vertically up at 30 m / s with respect to he ground. Then the other part will move at:

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Q. A projectile is moving at $20 m / s$ at its highest point, where it breaks into equal parts due to an internal explosion. One part moves vertically up at $30 m / s$ with respect to he ground. Then the other part will move at:

KCETKCET 2001Motion in a Plane

Solution:

Using momentum conservation,
$ \begin{array}{l} m \times 20 \hat{ i }= m / 2 \times 30 \hat{ j }+ m / 2 \times x \\ x =40 \hat{ i }-30 \hat{ j } \\ \Rightarrow | x |=50 \end{array} $