Exercise 3.23 Part A How high was the baloon when the rock was thrown out? A 124

Question

Exercise 3.23 Part A How high was the baloon when the rock was thrown out? A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 20.4 m/s A 1.0-kg stone is thrown from the basket with an intial velooity of 16.6 m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest in the basket. The person in the basket sees the stone hit the ground 7.20 s after being thrown. Assume hat the balloon continues its downward descent with the same constant speed of 20 4 m/s Wy Answers Give up Part 8 How high is the balloon when the rock hits the ground? My Answers Give Part C At the instant the rock hils the ground, how far is tfrom the basket? My Answers Give Up Pat D uat before he ock hits the ground. ind its horinontal and verfical velooiy components as meatured by an observer af rest in the baske My Answers Oive Part E st before the rock hits the ground,fid its hotrontat and vertical velooily componests as meured by an olserver at est on the ground

Explanation / Answer

A)

consider the motion of rock in vertical direction :

Vo = initial velocity = 20.4 m/s

a = acceleration = 9.8

t = time of travel = 7.20 s

Y = height at which the stone was thrown

using the equation

Y = Vo t + (0.5) a t2

Y = 20.4 (7.2) + (0.5) (9.8) (7.2)2

Y = 400.89 m

B)

h1 = Y - 20.4 (7.2) = 400.89 - 20.4 (7.2) = 254.01 m

c)

x = horizontal distance from basket = 16.6 x 7.2 = 119.5

h1 = vertical distance = 254.01 m

d = distance = sqrt(x2 + h12) = sqrt((119.5)2 + (254.01)2) = 280.72 m

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