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## Explanation & Answer

Please view explanation and answer below.Hi, here the second experiment alone.

Physics 250: Projectile Motion

Objective:

Study the relationship between height, initial velocity, initial angle and range of the object in twodimensional projectile motion.

To find the simulation go directly to this link: http://phet.colorado.edu/en/simulation/projectilemotion

Click “Intro.” When the simulation opens, hit the “Fire” button. Spend 5 minutes just playing with

the simulation to see what it can do.

Finding g: Use these settings:

an angle of 60° and an initial speed of 18 m/s. Come up with a

strategy to verify what value the simulation is using for g. You can use the measurement tool on the

top right part of the screen and move it to any point on the projectile and measure the time,

horizontal or vertical position of the object. Describe your strategy here including the equations

and calculations here.

page 1

Predict: What will happen to the range when you double the velocity?

Now change the mode to “Lab” mode and do the rest of the lab in this mode.

Horizontal distance versus initial speed:

Experiment 1 (Keep the height at 10 m):

objective: How initial speed affects the range of the projectile while keeping the height constant.

Set the angle to 60 degrees. Find the range for several different values of initial speed (make sure

you get values over the whole range of initial speeds available). Make the following table in Excel and

plot the graph of Horizontal distance vs. vi. Is there a linear relationship between the variables?

In the next step add another column to your table and label it as vi2. Now, plot the graph of

Horizontal distance vs. vi2. Is that graph linear? What you can conclude about the relationship

between initial velocity and horizontal distance?

vi (m/s)

8

10

Horizontal

distance (m)

9.2

vi2 (m/s)2

64

12.81

100

15

24.54

225

19

36.04

361

25

60.45

625

27

69.69

729

30

84.86

900

Were you correct in your prediction? Explain.

page 2

Maximum range in same level projectile:

+

Reduce the height of the cannon to be zero by clicking on the sign on cannon and lower it down

so that the height reads 0 m. Predict what initial angle will produce maximum range (range is the

total horizontal distance traveled by the projectile), in the case when the projectile lands at the

same level it was launched from.

45º

What is your predicted value of the initial angle? ______

Range versus launch angle (Same level Projectile):

Experiment 2: keep vi to be constant and create the below table in the Excel. Fill the table for

several values of θ and range. Again, get values from the whole range of angles available to you. You

can use the measurement tool – place it on the impact point to read the range, height, and time for

the projectile. Plot the graph of Range vs. angle in Excel.

θ(deg.)

(x-axi...