I have a question with deriving velocity from the following SUVAT equation. Can i get some help please.
The question:
The equation for distance, s (m), traveled in time t (s) by an object starting with initial velocity u (ms-1) and uniform acceleration a (ms-2) is..
$$s = ut + ½ at^2$$
i) differentiate the equation to find the function for velocity (v =ds/dt)
Step by step workout would be appreciated thanks.
Note that you have constants $u$, and $a$ and your variables are $t$ and $s$
You want to differentiate $$ ut+(1/2) at^2$$
Derivative of $ut$ is $u$ and derivative of $ t^2$ is $2t$
You should be able to take it from here.