Can You Derive Equations Using UAM Principles?

[jensgt]

Homework Statement

Can you come up with (i.e. derive) equations 5-1 and 5-2 on your own using UAM equations? Try it

Homework Equations

This is the equation I need to end up at...

R=Vox/g(Voy+(Voy^+2gh)^1/2

The Attempt at a Solution

I am not really sure where to start. I was trying to use the equations for range and height but it does not seem to be getting me anywhere. This is my first physics course.

 

[tiny-tim]

welcome to pf!

hi jensgt! welcome to pf!

(try using the X² button just above the Reply box )

don't try to memorise (or use) the range or height equations , go back to the standard constant acceleration equations, for the x and y directions (separately)

they'll use the same t …

show us what you get ​

 

[jensgt]

The equations I know are

Vx = Vox + Axt

X = Xo + Voxt + 1/2axt^2

X-Xo = [(Vox + Vx)/2]t

Vx^2 = Vox^2 +2ax(X-Xo)

I am just confused as to where to start. I derived the other one he asked us about this one has me stuck.

 

[tiny-tim]

hi jensgt!

(just got up :zzz:)

I am just confused as to where to start.

use x = x_o + V_xot + 1/2a_xt²

and y = y_o + V_yot + 1/2a_yt²

(obviously, a_x = 0) …

show us what you get ​

(btw, never use "x" for times, it's too confusing … use "*" instead, or nothing at all! )