# Horizontal range

## Homework Statement

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°?

## Homework Equations

Trigonometry formula

## 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?

## Answers and Replies

haruspex
Science Advisor
Homework Helper
Gold Member
2020 Award
What do you think "horizontal range" means?

What do you think "horizontal range" means?
Horizontal distance traveled..
Oh wait, I think I get something..
*edit

haruspex
Science Advisor
Homework Helper
Gold Member
2020 Award
Horizontal distance traveled..
Oh wait, I think I get something..
*edit
Horizontal distance travelled between two points having what relationship?