Given a formula vsquared=usquared±2as and s=1/2at squared
To solve the given equations, which represent the kinematic equations of motion, we need to understand what each variable represents:
- v represents the final velocity
- u represents the initial velocity
- a represents the acceleration
- s represents the displacement or distance traveled
- t represents the time elapsed
From the first equation:
v^2 = u^2 ± 2as
We square both sides of the equation, which yields:
v^2 = u^2 + 2as or v^2 = u^2 - 2as
Now, let's move on to the second equation:
s = (1/2)at^2
This equation relates the displacement (s) of an object to its initial velocity (u), the acceleration (a), and the time elapsed (t).
Given these equations, we can manipulate them to solve for specific variables depending on what is given.
If we have the initial velocity (u), acceleration (a), and time (t), we can calculate the displacement (s) using the second equation:
s = (1/2)at^2
If we have the final velocity (v), initial velocity (u), and displacement (s), we can calculate the acceleration (a) using the first equation:
v^2 = u^2 ± 2as
And if we have the final velocity (v), initial velocity (u), and acceleration (a), we can calculate the displacement (s) using the same equation:
v^2 = u^2 ± 2as