halp (1 Viewer)

[sodiumziha]

(Cambridge Mathematics HSC 2U)
5C
(3) A particle is moving with acceleration function a = 8. Two seconds after time zero, it is stationary at the origin.
(a) Integrate to find the velocity function.
(b) Integrate again to find the displacement function.

so like I got (a), velocity is 8t-16, but idk how to get the constant for (b)

Answer is 4t^2-16t+16

 

[fan96]

Two seconds after time zero, it is stationary at the origin.

This means that when .

Your integral of velocity will be



Knowing that the particle is at the origin after two seconds, you can work out the constant.

 

[HeroWise]