Projectile Distance: Earth vs. Moon

[jdawg]

Homework Statement

Would the horizontal distance traveled by a projectile on Earth be the same as one on the moon? I feel like the distances would be different, but when I was calculating the initial velocity of the projectile on the moon I used the same x value(distance) that I did for earth. Wouldn't gravity have an affect on the distance traveled?

Homework Equations

V_xoearth=x√(g/2y)
V_xomoon=x√((1/6)g/2y)

The Attempt at a Solution

 

[Nugso]

It would. Gravity affects the maximum height that an object can go, hence it affects time as well, and time affects the horizontal displacement. Can you please show your calculations?

 

[jdawg]

Height: y=14.1cm=0.141 m
Distance: x=31.3 cm= 0.313 m

V_xoearth=(0.313)*√(9.8/2*0.141)=0.19 m/s

V_xomoon=(0.313)*√(1/6*9.8/2*0.141)= 0.745 m/s

But what's confusing me is the way they worded the question. They told me to use my x measurement and y height from the experiment when calculating the initial velocity for the moon. Then they ask if the x values measured on the moon would be the same as the x values measured on earth. Why would they tell me to use the same x value if they would be different?

 

[SteamKing]

As always, please follow the HW template when posting to these forums. We can't judge the wording of the problem if you don't provide it verbatim.

 

[jdawg]

Sorry, I'm still kind of new to this forum. But I think I figured out what the question meant. Thanks for the help!