Given: y = vt+1/2at^2 and x=wt, write an expression for y in terms of x, not including t?

Question

...Not necessarily looking for the answer just general guidance and tips. Also, what kind of problem is this? Rearranging equations?

Answer 1

t = x/w

y = vt + 1/2at^2
y = vx/w + 1/2ax^2/w^2

Answer 2

It is a substitution question.

You want to get rid of all the t terms, so find out what t equals in terms of w:

x=wt, so t = x/w.

Now put that into the first equation:
y = vt+1/2at^2 =

y = v(x/w)+1/2a(x/w)^2.

Answer 3

The idea here is you want to eliminate 't'. You're second equation is x = wt, so you can isolate that equation for 't', and then substitute your equation for 't' into your first equation.

This type of problem is really just to see how well you can isolate common variables. If I had to give it a label though, I would label this question as an algebra question.

Answer 4

x = wt
t = x/w

y = v(x/w) + ½a(x/w)²

This is a physics "velocity" equation. "y" is your final velocity, given your initial velocity ("v") and the time ("t") and accelleration ("a").