Niko, in the basket of a hot-air balloon, is stationary at a height of 10 m above the level from where his friend, Bongi, will throw a ball. Bongi intends throwing the ball upwards and Niko, in the basket, needs to descend (move downwards) to catch the ball at its maximum height.
Bongi throws the ball upwards with a velocity of 13 m·s −1 . Niko starts his descent at the same instant the ball is thrown upwards, by letting air escape from the balloon, causing it to accelerate downwards. Ignore the effect of air friction on the ball.
Calculate the maximum height reached by the ball.
Calculate the magnitude of the minimum average acceleration the balloon must have in order for Niko to catch the ball at its maximum height.
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