Chasing the banana?

Classical Mechanics Level 3

While playing with his monkey, Tom threw a banana (horizontally) from a $$45 \text{ m}$$ high building while the monkey was running away from the building.

At the moment when banana was thrown speed of monkey was $$4 \text{ m/s}$$ and acceleration was $$2 \text{ m/s}^2$$. Acceleration was constant throughout the motion and when banana was thrown monkey was at distance of $$45\sqrt{2} \text{ m}$$ away from the Tom.

Find the speed of projection if monkey catches banana just before it touches the ground.

Details and Assumptions:
1) Acceleration due to gravity is $$g = 10 \text{ m/s}^2$$.
2) Banana and monkey are particles.
3) Write your answer of speed in $$\text{ m/s}$$.

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