- #1

lauriecherie

- 44

- 0

## Homework Statement

A hot air balloon is ascending at the rate of 13 m/s and is 93 m above the ground when a package is dropped over the side. How long does the package take to reach the ground? With what speed does it hit the ground?

## Homework Equations

x(t)= initial position + final velocity * time

v(t)= (acceleration * time) + initial velocity

x(t)= .5 * (acceleration * (time^2)) + (initial velocity * time) + inital position

x= initial position * (average velocity * time)

average velocity= (final velocity - initial velocity) / (2)

(final velocity^2) - (initial velocity^2) = 2 * acceleration * change in position

## The Attempt at a Solution

I manipulated equation 4 to solve for time and got 7.15 s, which is wrong. Then I began thinking "Do I need to double this time?" Is it supposed to be 14.31 s?

For question 2, I used the last equation to solve for final velocity and got 50.86 m/s which it also marked incorrectly. Can anyone please explain this to me? I seem to be having trouble with motion in two direction thing...