(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

Acceleration is the derivative of velocity.

Velocity is the derivative of displacement.

3. 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?

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# Homework Help: Deriving an equation for displacement and acceleration (given velocity)

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