Velocity Time Graph- displacement ?

Question

how do you find the dsplacement under a curve (parabola) in the velocity time graph?

Answer 1

You integrate to find the area under the curve
v(t)=dx(t)/dt

if velocity or dx(t)/dt=c+b*t+c*t^2
then x(t)
=d+c*t+.5*b*t^2+c*t^3/3
Where d is x(t=0)

Then you evaluate the expression as
x(t2)-x(t1) for the displacement

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