Physics Problem. I must find acceleration.

AI Thread Summary
An astronaut on a distant planet throws a rock upward with an initial velocity of +15 m/s and measures a total time of 20 seconds for it to return to his hand. To find the acceleration due to gravity, the relevant equation is v = v0 + at, where the final velocity when the rock returns is -15 m/s due to symmetry. The astronaut initially miscalculated the time, thinking it was 30 seconds, which led to incorrect values for acceleration. After clarification, the correct approach involves using the given time and recognizing the final velocity's opposite sign. The problem is ultimately resolved by applying the correct values in the equation.
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=Vot + 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=Vot + 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,
<br /> v=v_0+at<br />

You have explicitly been given the value of v_0. 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 v in the above equation.

You have also explicitly been given the value of t.

So now you may simply solve for a 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=Vot + 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,
<br /> v=v_0+at<br />

You have explicitly been given the value of v_0. 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 v in the above equation.

You have also explicitly been given the value of t.

So now you may simply solve for a 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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