Projectile motion equation help

[Jeffeff]

Homework Statement

Using these two equations of (1) Dx=(Vox)t and (2) Dy= -(1/2)gt^2 I have to find an expression of Dy as a function of Dx

Vox = initial component of velocity at time =0
Dx = Distance traveled horizontally
Dy= Distance traveled vertically upward

Homework Equations

Dx=(Vox)t and Dy= -(1/2)gt^2

The Attempt at a Solution

I rearranged equation (1) to get time; t=Dx/Vox and used this in equation (2) to substitute for t and coming up with the equation Dy = -g(Dx^2/Vox^2/2. I'm not quite sure I did this right any help would be appreciated.

Thanks in advance!

 

[SammyS]

Homework Statement

Using these two equations of (1) Dx=(Vox)t and (2) Dy= -(1/2)gt^2 I have to find an expression of Dy as a function of Dx

Vox = initial component of velocity at time =0
Dx = Distance traveled horizontally
Dy= Distance traveled vertically upward

Homework Equations

Dx=(Vox)t and Dy= -(1/2)gt^2

The Attempt at a Solution

I rearranged equation (1) to get time; t=Dx/Vox and used this in equation (2) to substitute for t and coming up with the equation Dy = -g(Dx^2/Vox^2/2. I'm not quite sure I did this right any help would be appreciated.

Thanks in advance!

Hello Jeffeff. Welcome to PF !

You have unbalanced parentheses. Assuming you mean that D_y = -g(D_x²/V_0x²)/2, that's correct.