To calculate the velocity of the ball as it was launched, we can use the formula for kinetic energy:
\[ KE = \frac{1}{2}mv^2 \]
Where:
- \( KE \) is the kinetic energy (25 J in this case),
- \( m \) is the mass of the ball (2 kg),
- \( v \) is the velocity we want to find.
We can rearrange the formula to solve for \( v \):
\[ v = \sqrt{\frac{2 \times KE}{m}} \]
Substituting the known values:
\[ v = \sqrt{\frac{2 \times 25 , \text{J}}{2 , \text{kg}}} \]
\[ v = \sqrt{\frac{50}{2}} \]
\[ v = \sqrt{25} \]
\[ v = 5 , \text{m/s} \]
Therefore, the velocity of the ball as it was launched is 5 m/s.
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