# Horizontal range

1. Feb 22, 2016

### Yoruichi

1. The problem statement, all variables and given/known data
A ball is thrown at angles 45° and 30° above the horizontal with the same initial speed. What multiple of the horizontal range at angle 30° is that at angle 45°?

2. Relevant equations
Trigonometry formula

3. The attempt at a solution
I think that first step is to divide the initial speed into horizontal component and vertical component.
Let the initial speed be u
Horizontal speed of 30° angles : u x cos 30° = 1 / 2 u
Horizontal speed of 45° angles : u x cos 45° = √2 / 2 u

After this I'm not sure what to do next.. Since the question didn't provide time, I can't use the kinetic equation formula.
Can anyone give me a hint about what should I do next?

2. Feb 22, 2016

### haruspex

What do you think "horizontal range" means?

3. Feb 22, 2016

### Yoruichi

Horizontal distance traveled..
Oh wait, I think I get something..
*edit

4. Feb 22, 2016

### haruspex

Horizontal distance travelled between two points having what relationship?