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## Homework Statement

For 0<t<1, v(t) = t +3

For 1<t<2, v(t) = 5-t

Assume x(o)=0

A) Draw corresponding displacement and acceleration diagrams.

B) Determine the equation for each segment

## Homework Equations

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:

For 0<t<1

t

^{2}/2 + 3t + C

For 1<t<2

5t - t

^{2}/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?