How Does Reducing Earth's Gravity Affect the Time a Thrown Ball Takes to Return?

[Gear2d]

Homework Statement

If I throw a ball straight up to a height h with velocity v and it takes the ball time t to go up and back to my hands, by how much would time increase or decrease if gravity on Earth where changed from g to g/6?

Homework Equations

v = a*t

The Attempt at a Solution

I wanted make sure what I am thinking was correct. I thought about this problem as a projectile problem and said that t = (v*sin(theta))/a, where "a" is acceleration. Now since the ball was thrown straight up, I made sin(theta) to sin(90). So the problem comes out to be t=v/a, and since "a" decreases by a factor of 6 that means time increase by a factor of 6. Would this reasoning be the correct way to do it?

 

[tiny-tim]

v = a*t

Hi Gear2d!

Your reasoning and your result are right … but your initial equation is wrong.

The general equation is v₂ - v₁ = at …

so what do you think it is in this particular case?