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A hot air balloon is traveling vertically upward at a constant speed of 7.0 m/s.

When it is 21 m above the ground, a package is released from the balloon. For
how long is it in the air?

User Bshack
by
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1 Answer

2 votes

Answer:

The time spent in air by the package is 1.5 s

Step-by-step explanation:

Given;

speed of the balloon, v = 7.0 m/s

distance traveled by the balloon, d = 21 m

The time spent by the object in the air is give by;

d = vt + ¹/₂gt²

21 = 7t + ¹/₂(9.8)(t²)

21 = 7t + 4.9t²

4.9t² + 7t -21 = 0

solve this quadratic expression, and the value of t will be

t = 1.5 s

Therefore, the time spent in air by the package is 1.5 s

User Orangepill
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