- #1

Sam 1998

- 3

- 0

## Homework Statement

I am currently trying to find a way to determine the relationship between launch height and range for a projectile launched at less than horizontal.

Would vary launch height to and measure range.

I need a directly proportional equation or at least a linear relationship.

## Homework Equations

In next part

**[/B]**

## The Attempt at a Solution

Sh = Vh*t

Sv = Vov*t + 1/2*a*t^2

Where the launch velocity components are:

Vv = v*sin(launch angle)

Vh = v*cos(Launch Angle)

Therefore,

Sh = v * cos(launch angle) * t so t = Sh/v*cos(launch angle)

Sv = v*sin(launch angle) * t + 1/2*a*t^2

Substituting time,

Sv = v*sin(launch angle) * (Sh/ v * cos(launch angle)) + 1/2 * a * (Sh/ v * cos(launch angle))^2

This is as far as I have got however I need to find a way to show the direct relationship between launch height and range. I am assuming now this isn't possible due to the quadratic, however can anyone think of a solution?