- #1
Cade
- 92
- 0
Homework Statement
I have an equation for motion:
x(t) = x(0) + x(0) * k * t[itex]^{1.5}[/itex]
x is in meters and t is in seconds. I have to determine the unit of k.
Homework Equations
The Attempt at a Solution
x(t) = x(0) + x(0) * k * t[itex]^{1.5}[/itex]
[x(t)] = meters
Therefore, [x(0)] = meters and [x(0) * k * t[itex]^{1.5}[/itex]] = meters
meters * [k] * seconds[itex]^{1.5}[/itex] = meters
meters * (1/seconds[itex]^{1.5}[/itex]) * seconds[itex]^{1.5}[/itex] = meters
Does this mean the the unit of k is 1/seconds[itex]^{1.5}[/itex], 1/seconds, or something completely different?