Physics Problem. I must find acceleration.

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Homework Help Overview

The problem involves an astronaut on a distant planet attempting to determine the acceleration due to gravity by throwing a rock straight up with an initial velocity and measuring the time it takes for the rock to return. The context is rooted in kinematics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to relate initial velocity, time, and acceleration. Some express uncertainty about how to begin, while others attempt calculations but question their results and the assumptions made regarding time and velocity.

Discussion Status

Several participants have attempted calculations, with some expressing confusion about the correct approach. Guidance has been offered regarding the use of specific equations and the interpretation of the rock's velocity upon return. There is an ongoing exploration of the problem, with no clear consensus yet.

Contextual Notes

Participants are working under the constraints of the problem statement, including the initial velocity and total time measured. There is discussion about the implications of the time measurement and the symmetry of the motion involved.

afcwestwarrior
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Homework Statement

An astronaut on a distant planet wants to determine it's acceleration due to gravity. The Astronaut throws a rock straight up with a velocity of +15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration due to gravity on this planet.

Velocity=15 m/s
Time= 20.0s



Homework Equations


v=Vo + at
x=volt + 1/2 a t^2
v^2= Vo^2 + 2ax


The Attempt at a Solution



I have no clue where to start. Give me a hint please.
 
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Here is what I did. a= (0 m/s - +15m/s)/20.0s=-.75 m/s^2.
I know I did it wrong.
 
Would this be right. a= (0 m/s - + 15 m/s)/ 30s -20 s= -1.5 m/s^2

Now the answer is right, but I added 10 more seconds because it said the guy measured the time before it reached his hand. That's how I got 30s as the final time.
 
I still did it wrong I believe.
 
afcwestwarrior said:

Homework Statement

An astronaut on a distant planet wants to determine it's acceleration due to gravity. The Astronaut throws a rock straight up with a velocity of +15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration due to gravity on this planet.

Velocity=15 m/s
Time= 20.0s

Homework Equations


v=Vo + at
x=volt + 1/2 a t^2
v^2= Vo^2 + 2ax

The Attempt at a Solution



I have no clue where to start. Give me a hint please.
You only need to use that first "Relevant Equation" namely,
[tex] v=v_0+at[/tex]

You have explicitly been given the value of [tex]v_0[/tex]. Next ask yourself: What is the velocity of the rock when it returns to the astronaut's hand? You should be able to guess the answer by symmetry. And choose the sign opposite of the initial velocity. Thus you will know [tex]v[/tex] in the above equation.

You have also explicitly been given the value of [tex]t[/tex].

So now you may simply solve for [tex]a[/tex] in terms of known quantities. Good luck.

Adam
 
Last edited:
afcwestwarrior said:

Homework Statement

An astronaut on a distant planet wants to determine it's acceleration due to gravity. The Astronaut throws a rock straight up with a velocity of +15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration due to gravity on this planet.

Velocity=15 m/s
Time= 20.0s

Homework Equations


v=Vo + at
x=volt + 1/2 a t^2
v^2= Vo^2 + 2ax

The Attempt at a Solution



I have no clue where to start. Give me a hint please.
You only need to use that first "Relevant Equation" namely,
[tex] v=v_0+at[/tex]

You have explicitly been given the value of [tex]v_0[/tex]. Next ask yourself: What is the velocity of the rock when it returns to the astronaut's hand? You should be able to guess the answer by symmetry. And choose the sign opposite of the initial velocity. Thus you will know [tex]v[/tex] in the above equation.

You have also explicitly been given the value of [tex]t[/tex].

So now you may simply solve for [tex]a[/tex] in terms of known quantities. Good luck,

Adam
 
Last edited:
Ok so this problem was simple. Thanks for the explanation. I knew I was using the right equation, but I knew I had the wrong numbers in their.
 

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