Calculating Freefall Time: How Long Will the Book Take to Hit the Ground?

[Fritsc]

Questions;

1)A person in a hot air balloon at 500m is rising at 20m/s.
In order to rise up even faster, she drops her physics textbook out of the balloon.
How long will the book take to hit the ground?

Since it's thrown at 500m high, and Gravity is -9.8m/s
500/9.8 = 51 seconds
However I'm not pleased with the answer, I just feel something is missing and it should not be that easy.

2)A pop fly rises 80m after being hit by a bat.
How long is it in the hair before it is caught by the catcher?

Same logic.
80/9.8 = 8.1 seconds.

3)A ball is thrown up with a Vi of 30m/s^2 on the moon where gravity is 1/6g
How high?
How long total?
How long until ball is 100m high?

Moon gravity = 1.6

How high?
30/1.6 = 18.8s
1.6*18.8 = 30
30*18.8 = 564
564 - 30 = 534m

How long total?
30/1.6 = 18.8sHi there, I'm new to these forum, and new to physics!
These are some of the question that are given to me (There lots more!). But basically they're of the same concept so helping me with 3 of these will probably make me understand the rest of the question I'm given.

Thanks for the help!

 

[therayne]

Welcome to the forum! I'm new too. =]
Just know that you'll get help much faster if you show that you tried the problem first

Edit: You should read this https://www.physicsforums.com/showthread.php?t=94379"

 

[Fritsc]

I've tried the question and I'm really confused right now!
I didn't type it out because it's a mess in my book.
Thanks!

 

[Redbelly98]

Questions;

1)A person in a hot air balloon at 500m is rising at 20m/s.
In order to rise up even faster, she drops her physics textbook out of the balloon.
How long will the book take to hit the ground?

Since it's thrown at 500m high, and Gravity is -9.8m/s
500/9.8 = 51 seconds
However I'm not pleased with the answer, I just feel something is missing and it should not be that easy.

Welcome to PF

No, the acceleration due to gravity IS NOT -9.8 m/s, it is -9.8 m/s²

How about using the kinematic equations for motion with constant acceleration here?