Awater balloon launcher launches a balloon straight up at a flying kite. if the kite is hovering 75.0 meters off the ground, and the balloon hits it on its upward trajectory with a velocity of 12.2m/s, a) what was the launch velocity of the balloon

Launch velocity of the balloon is 40.23 m/s.

Explanation:

It is given that,

Height above ground, h = 75 m  

Velocity of balloon on its upward trajectory, u = 12.2 m/s

We need to find the launch velocity of the balloon. Let it is equal to v. Applying the conservation of energy as :

So, the launch velocity of the balloon is 40.23 m/s. Hence, this is the required solution.

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