For 0<t<1, v(t) = t +3
For 1<t<2, v(t) = 5-t
A) Draw corresponding displacement and acceleration diagrams.
B) Determine the equation for each segment
Acceleration is the derivative of velocity.
Velocity is the derivative of displacement.
The Attempt at a Solution
I can draw the acceleration diagram and write the equation so no problem there.
My problem is drawing the displacement diagram.
I got the equations for displacement. They are:
t2/2 + 3t + C
5t - t2/2 + C
I cannot figure out how to evaluate that constant and plot that on a graph. Also, my teacher mentioned finding the area under the original curve and plotting that. The area = 3.5but that's not a point to plot. What do I dO?