Chapter 02, Problem 049 A hot-air balloon is ascending at the rate of 12 m/s and

Question

Chapter 02, Problem 049 A hot-air balloon is ascending at the rate of 12 m/s and is 71 m above the ground when a package is dropped over the side. (a) How long does the package take to reach the greund? (b) wth what speed does it hit the ground (a) Number (b) Number Click if you would like to Show Work for this By accessing this Question Assistance, you waleam whae you earn points based on the Point Potential Policy set You instructor, 0 of 5 used Question Attempts Eam Maximum points available only r you answer this question correctly attempts or less. Copyright 2000-2017 by Gohn Wiley & Sons, inc. or reiated companies. Airights reserved. &2000-2012Jahn Wiley Sans Inc. As Rights Reserved ADivision of lohoMlet Sons genisharedlastignmentiteMag st cBoo

Explanation / Answer

we need to use an acceleration dependent formula, so we will use:

y=y0+v0t+(at^2)/2

y=71 meters (in relation to the balloon.)
y0= 0 meters (in relation to the balloon.)
v0= -12m/s (why negative?, this is because the velocity is going against the acceleration.)
a= g = 10 (earths gravity.)

t= what were trying to find.

so we will get:

71= -12t +5t^2

now you use the quadratic equation to find .

the answer should be for a:

t= 5.15 seconds


now for the next question, finding the speed at witch it landed.
Now that we know how long the drop was, we can use this formula to find out at what speed the drop ended.

v=v0+at

v= what were trying to find
v0= -12 (same reason as the first question)
a = g = 10
t= the answer from question a.

so you should get:

v= 39.5 m/s

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