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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