Some quick questions concerning uniform acceleration and linear motion

[Ellio]

Homework Statement

just general questions

Relevant Equations

x(t) = x0 + v × (t-t0)
x(t) = x0 + v × (t-t0) + 1/2 × a × (t-t0)

Hello, I hope you are all having a great day !
I've got a physics test in a couple of days and I have some questions:1.
In a calculation, if the acceleration is in m/s², I presume the speed also has to be in m/s and not in km/h ?

2.

So with this graph (v with t), I have to find the total distance the object made.
The movement is at start an uniform acceleration then a linear motion and it finishes with an uniform acceleration again.
I have to find the total distance by doing v × t = x
But i thought this was just with linear motion (v = x/t)I hope the question were clear, I apologise if they weren't. Thank you in advance !

 

[PeroK]

1. Yes. You must use consistent units.

2. Displacement is area under a graph of velocity against time. You need to calculate this according to the shape of the graph: rectangles, triangles or other shapes. $A = vt$ only applies for a rectangle, where $v$ represents the constant velocity.

 

[jbriggs444]

Homework Equations: x(t) = x0 + v × (t-t0)
x(t) = x0 + v × (t-t0) + 1/2 × a × (t-t0)

Note that the latter equation should be $$x(t) = x_0 + v(t-t_0) + \frac{1}{2}a(t-t_0)^2$$