Kinematics problems: Displacement in Moon & Proportionality

AI Thread Summary
The discussion focuses on a kinematics problem involving an astronaut throwing a stone horizontally on the moon, where gravity is one-sixth that of Earth's. Participants explore how to determine the factor by which the horizontal distance traveled by the stone changes, with initial calculations suggesting a factor of 6 based on inverse proportionality. However, this conclusion is questioned, emphasizing the importance of understanding the relevant kinematic equations and the specific conditions of the problem, such as the height from which the stone is thrown. The conversation highlights the need for careful consideration of all variables involved in projectile motion. Ultimately, the correct answer requires a deeper analysis of the motion dynamics on the moon.
Tanha Kate
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Homework Statement



An astronaut on the moon throws a stone horizontally with a speed V0. If the acceleration due to gravity on the moon is 1⁄6 that of the Earth, by what factor will the horizontal distance traveled by the stone, d, change?

Answer Options:
2

2.44

1.20

36

6

Homework Equations



U1L6a1.gif


The Attempt at a Solution


[/B]
Rearranging kinematic equation to make displacement the subject

upload_2016-11-18_12-45-0.jpeg


Hence, inverse proportionality suggests displacement will increase by a factor of 6 but this is not the answer
 
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When you use any formula, you must understand why that formula applies to the situation you are dealing with and what each term in the formula represents.

In this case, are you dealing with motion in one direction?

Also, what about the height above the ground that the stone is thrown?
 
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