Answer:
The magnitude of the velocity of the third fragment is 212.13 m/s.
Step-by-step explanation:
Given that,
Speed = 100 m/s
Vertical speed of first fragment = 150 m/s
Vertical speed of second fragment = 150 m/s
We need to calculate the vertical speed of third fragment
Using conservation of momentum


Put the value into the formula



We need to calculate the horizontal speed of third fragment
Using conservation of momentum


Put the value into the formula



We need to calculate the magnitude of the velocity of the third fragment

Put the value into the formula


Hence, The magnitude of the velocity of the third fragment is 212.13 m/s.