- #1
Infamous
- 3
- 0
I have been trying but i can't quite figure out how to rearrange this so that 's' (displacement) is the subject. Please help me figure this out.
Sorry if this is in the wrong place.
Sorry if this is in the wrong place.
You can use Latex for it on the advanced posting screen, the button([tex]\Sigma[/tex]) is on the upper right:Infamous said:(Ordinarily 's' would be on the other side, but i couldn't work out how to do fractions on this forum)
mplayer said:You can use Latex for it on the advanced posting screen, the button([tex]\Sigma[/tex]) is on the upper right:
[tex]s = \frac{v^2-u^2}{2a}[/tex]
Infamous said:Awesome, now that I understand this the rest of my work is easy. Thanks!
Thanks for telling me about this, many forums i visit I've needed something like this, but never known how to use it.
The equation v²=u²+2as represents the relationship between an object's initial velocity (u), final velocity (v), acceleration (a), and displacement (s). It is commonly known as the kinematic equation for constant acceleration.
To rearrange the equation, you must isolate the variable you want to solve for. For example, if you want to solve for final velocity (v), you can subtract u² from both sides and then take the square root of both sides to get v = √(u²+2as). If you want to solve for initial velocity (u), you can subtract 2as from both sides and then take the square root of both sides to get u = √(v²-2as).
The units of measurement for velocity (v) and initial velocity (u) are meters per second (m/s). The unit for acceleration (a) is meters per second squared (m/s²). The unit for displacement (s) is meters (m).
The constant 2 represents the fact that acceleration is constant throughout the object's motion. This means that the object's acceleration does not change over time, and the change in velocity is directly proportional to the acceleration and displacement.
The equation is derived from the basic kinematics equations that describe the relationship between an object's velocity, acceleration, and displacement. By manipulating these equations and combining them, we can arrive at the equation v²=u²+2as, which is a simplified version that represents the same relationship.