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?

Respuesta :

Answer:

The time spent in air by the package is 1.5 s

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