Finding the Ideal Angle for Maximum Distance with Friction

[vagelier]

Homework Statement

So for physics, I am trying to establish what the ideal angle is to get a maximum horizontal distance when you throw an object. So far, by using the formula s = v²sin(2θ)/g I've discovered that the angle is 45 degress without friction (duh). But now I need to have a formula to calculate the ideal angle with friction. I know it should be a little below 45 degrees, but I still need to prove it by equation.

Homework Equations

s = v²sin(2θ)/g

The Attempt at a Solution

see 1.

 

[AC130Nav]

Homework Statement

So for physics, I am trying to establish what the ideal angle is to get a maximum horizontal distance when you throw an object. So far, by using the formula s = v²sin(2θ)/g I've discovered that the angle is 45 degress without friction (duh). But now I need to have a formula to calculate the ideal angle with friction. I know it should be a little below 45 degrees, but I still need to prove it by equation.

Homework Equations

s = v²sin(2θ)/g

The Attempt at a Solution

see 1.

Why would SIN(28) be a constant?

Also, aiming a cannon lower than 45 degrees produces a greater firing range regardless of frictiion.

Have you left things out?