"You can jump 3 feet vertically on Earth. Figure out how high you would be able to jump on the Moon, where acceleration due to gravity is ⅙ that of Earth. Assume you launch upwards with the same speed on the Moon as you do on the Earth."

Question

summerncaela · Answer

@Lowkey.S can you help w/ this at all??

lowkey.s · Answer

okay

lowkey.s · Answer

i have no idea

summerncaela · Answer

LMAO

lowkey.s · Answer

@YanaSidlinskiy 
@Jaynator495 
@jim_thompson5910 
@agent0smith

agent0smith · Answer

Use this equation. $\large v^2 = v_o^2 + 2a \Delta y$ - final velocity at your max height is zero, so solve for y, and g for Earth's gravity:
$$\large \Delta y = \frac{ v_o^2 }{ g }$$The v is the same on the moon, so ignore it. If the g is replaced by 1/6 g, what happens to y?

summerncaela · Answer

wouldnt you just multiply 3x6 because all it says is its 1/6 gravity of earth which means you can jump 6 times higher @agent0smith

agent0smith · Answer

Yes. The equation I gave shows why.

summerncaela · Answer

the equation you gave me just makes it look so much more complicated @agent0smith

agent0smith · Answer

The equation I gave shows WHY you can jump 6 times higher. You can't make a claim with zero evidence to support it.

summerncaela · Answer

lmao, that's just more work, @agent0smith thanks though

agent0smith · Answer

Then how are you going to show that you can jump 6 times higher? What reason do you have to believe that if the acceleration is 1/6th Earth, then the height is 6 times?

agent0smith · Answer

What if i said the velocity was 6 times higher? Would you think you'd jump 6 times as high? Because... that's not true.