A 124-kg balloon carrying a 22-kg basket is descending with a constant downward

Question

A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 13.1 m/s . A 1.0-kg stone is thrown from the basket with an initial velocity of 17.4 m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest n the basket. That person sees the stone hit the ground 18.5 s after it was thrown. Assume that the balloon continues its downward descent with the same constant speed of 13.1 m/s. Just before the rock hits the ground, find its horizontal and vertical velocity components as measured by an observer at rest n the basket. Part E Just before the rock hits the ground, find its horizontal and vertical velocity components as measured by an observer at rest on the ground.

Explanation / Answer

component along horizantal = vx = vox = 17.4 m/s

vertical component before as it hit the ground = vy = voy + gt

vy = -13.1- 9.8*18.5

vy = -194.4 m/s

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part E

velocity of rock relative to basket = Vrb = 17.4 i - 194.4j

velocity of basket relative to ground = vbg = -13.1 j

velocity of rock relative to ground = vrg = vrb + vbg

Vrg = 17.4i - 194.4j - 13.1 j

Vrg = 17.4i - 207.5 j

vx = 17.4 m/s

vy = 207.5 m/s

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