- #1
tomwilliam
- 144
- 2
I've got a kinematics equation modelling the flight of a stone:
v = 10-gt
s= -1/2 g t^2 +10t +2
I can't remember how to get a value for v which doesn't contain t.
I tried rearranging the first equation and introducing it to replace t in the second, but can't seem to get v isolated:
(10-v)/g = t
s = -1/2 g ((10-v)/g)^2 + 10((10-v)/g) + 2
s = -1/2 ((10-v)^2/g) + (100-10v)/g + 2
but I can't work out how to get a single expression for v. Can anybody help?
This isn't a homework question, and I know the final solution is:
v=sqrt(4g+100-2gs)
It's just that I'm revising some stuff and really should know this already...!
v = 10-gt
s= -1/2 g t^2 +10t +2
I can't remember how to get a value for v which doesn't contain t.
I tried rearranging the first equation and introducing it to replace t in the second, but can't seem to get v isolated:
(10-v)/g = t
s = -1/2 g ((10-v)/g)^2 + 10((10-v)/g) + 2
s = -1/2 ((10-v)^2/g) + (100-10v)/g + 2
but I can't work out how to get a single expression for v. Can anybody help?
This isn't a homework question, and I know the final solution is:
v=sqrt(4g+100-2gs)
It's just that I'm revising some stuff and really should know this already...!