could someone explain this real quick (mechanics)

[slim ingot]

let that time interval be X

i solved for it using areas

and yoou do *-4 for the first area because displacement is a vector and when velocity was negative it was travelling in one direction then it reversed

[slim ingot]

i tried finding the gradient or something but i saw not enough information

so i made up that time period , x

oh sh

im a dumbass

I did the long way

u can write a suvat equation

u = -4
v = 10
t= 4

(u+v)/2 * 4

oh because ur splitting up the area

from t = 4 to t= 9

its just that rectangle

area

mb im kind of tired i dont know why i did that

u had everything already 😭

but yh the suvat equation deals with the negative and positive displacements

for you

where did -14 come from

for the 2nd area u can see its the area of the rectange =
10 * (9-4) = 50

for the first part from t = 0 to t = 4
the gradient is constant so you are allowed to use suvat formulae
u = -4
v = 10
and t = 4
or you can use a = 3.5 instead of time

yes