A balloon is ascending at a rate of 16 ft/s to a height of 32 ft above the ground when a package is dropped. The time taken, in the absence of air resistance, for the package to reach the ground is
A) 1.0 s.
B) 1.5 s.
C) 2.0 s.
D) 2.5 s.
E) 3.0 s.

Question

Quizplus · Accepted Answer

The time taken for the package to reach the ground can be found using the equation:

h = (1/2)gt^2

where h is the initial height, g is the acceleration due to gravity (32 ft/s^2), and t is the time taken.

Plugging in the values, we get:

32 = (1/2)(32)t^2

Simplifying, we get:

t^2 = 1

Taking the positive square root, we get:

t = 1 s

So the time taken for the package to reach the ground is 1 second.

A Balloon Is Ascending at a Rate of 16 Ft/s