Is there anyway you can answer these questions with the information provided. Its using the moving man program.

Procedure

Place the man so that he is positioned at the 0.00 metre (m) mark. Set the initial velocity at -2.00 m/s and the acceleration at 0.50 m/s2. In a data table, record the time when the man is momentarily stopped and reversing direction.

Reset the simulation settings so that the man is once again positioned at the 0.00 m mark. Set the initial velocity at -2.00 m/s and the acceleration at 0.50 m/s2. In your data table, record the time when the man's position is at the +3.00 m mark.

Reset the simulation settings so that the man is once again positioned at the 0.00 m mark. Set the velocity at 0.00 m/s and the acceleration at 1.00 m/s2. Run the simulation and record the position of the man at 0.50 s, 1.00 s, 1.50 s, and 2.00 s.

Analysis Questions:

For step #1 of the procedure use appropriate formulae from the course to calculate the theoretical times for when the man should be momentarily stopped. Complete again for the +3.00 m mark. Compare the theoretical times with your experimental times.

Using the data collected from step #3 of the procedure, plot a graph of Displacement vs. Time. Study the shape of the graph, you can refer to the content topic of Graphical Analysis, and suggest a mathematical relationship between displacement and time if the acceleration is constant and the initial velocity is zero.

To verify that you have suggested the correct relationship in question 2, "straighten" the graph using graphical techniques. Plot the appropriate graph to verify the relationship between displacement and time when the acceleration is constant and the initial velocity is zero.

OR JUST PROVIDE THE FORMULA

v = vi + a t

x = xi + vi t + (1/2) a t^2

for example
"Place the man so that he is positioned at the 0.00 metre (m) mark. Set the initial velocity at -2.00 m/s and the acceleration at 0.50 m/s2. In a data table, record the time when the man is momentarily stopped and reversing direction. "
xi = 0
vi = -2
a = .5
then
v - vi + a t
v = -2 + .5 t
v = 0 at stop
so
0 = -2 + .5 t
t = 4 sec

when would he be at 3 mark?
x = xi + vi t + (1/2) a t^2
3 = 0 - 2 t + .5(.5) t^2
.25 t^2 - 2 t - 3 = 0
t^2 - 8 t - 12 = 0
t = [ 8 +/- sqrt (64 + 48) ]/2
t = [ 8 +/- sqrt (112) ]/2
t = 4 +/- sqrt 28
t = 9.3 sec

To answer the questions, we need to follow the given procedure and collect data from the Moving Man program. We will then use appropriate formulas and graphical analysis to analyze the data.

Step 1: Calculating theoretical times for when the man should be momentarily stopped
To calculate the theoretical times when the man is momentarily stopped, we need to use the formula:

v = u + at

where:
v = final velocity (0 m/s, as the man is momentarily stopped)
u = initial velocity (-2.00 m/s)
a = acceleration (0.50 m/s^2)

Rearranging the formula, we have:

t = (v - u) / a

Substituting the given values, we get:

t = (0 - (-2.00)) / 0.50

Simplifying,

t = 2.00 / 0.50

t = 4.00 s

So, the theoretical time for when the man should be momentarily stopped is 4.00 seconds.

Step 2: Calculating theoretical times for when the man's position is at the +3.00 m mark
To calculate the theoretical times when the man's position is at the +3.00 m mark, we can use the formulas of motion:

s = ut + (1/2)at^2

where:
s = displacement (+3.00 m)
u = initial velocity (-2.00 m/s)
a = acceleration (0.50 m/s^2)

Rearranging the formula and substituting the values, we have:

3.00 = (-2.00)t + (1/2)(0.50)t^2

This equation is quadratic in nature and can be solved using quadratic formula or factoring. By solving it, we can find the theoretical times when the man's position is at the +3.00 m mark.

Step 3: Plotting a graph of Displacement vs. Time and suggesting a mathematical relationship
Using the data collected from step 3 of the procedure, we can plot a graph of Displacement vs. Time. We can then study the shape of the graph and suggest a mathematical relationship between displacement and time when the acceleration is constant and the initial velocity is zero.

Step 4: Straightening the graph using graphical techniques and verifying the relationship
To verify the relationship suggested in question 2, we can "straighten" the graph using graphical techniques. This involves plotting the appropriate graph to verify the relationship between displacement and time when the acceleration is constant and the initial velocity is zero.

By following these steps, you can answer the analysis questions using the data collected from the Moving Man program and applying the relevant formulas and graphical analysis techniques.