12. Given below is a set of data representing the velocity of an airplane at a given time. Plot the velocity of the plane versus time and answer the questions below. Time (s) Velocity (m/s) 1 4 2 8 3 12 4 16 5 20 a. What kind of graph did you get? b. What does your graph indicate? c. What does the area of your graph indicate?

2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time

6. A train is moving with a constant speed. The train moves 60 meters for every 1.5 seconds that elapses. a. Assume that we get 40 by dividing 60 by 1.5. What is the name that is commonly given to a quantity represented by this number 40? b. To denote the quantity completely, what additional information must be given besides the number 40? c. How would you interpret the number 40 in this instance? Your answer should mention distance and time. d. Use your interpretation (not algebra) to find the distance the train moves in 2.5 seconds.

1. Write the final answer for the problem and add the units.   2. Write the claim and reasoning for this problem.   Example of how to write the claim and reasoning is the image with the black background.

Conclusion: Write a single paragraph describing the how the velocity of the car changes as time passes.  Be sure to include your equation and the acceleration in your description.

12. Acceleration is defined as the change in velocity with respect to time. a. True b. False 13. Among the units that acceleration has in the metric system or international system, is the unit of meters over seconds a. True b. False 14. The three fundamental quantities measured by any measurement system are length, mass, and density a. True b. False

Eliana likes to use an app to graph her runs. The graph below shows her run from her house to the park and back. a. Write a description of Eliana’s graph. b. What was Eliana’s running speed from her house to the park? Give Units. c. What was Eliana’s running speed 25 minutes after she started her run? How does your answer relate to the slope of the graph? d. What was Eliana’s running speed from the park to her house?

Suppose that critters are discovered on Mars that measure distance in boogles and time in bops. A. What would units of speed be in this system? Explain. B. What would units of velocity be in this system? Explain. C. What would units of acceleration be in this system? Explain.

What is the acceleration (in units of feet per second squared) of a car that goes from 16 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.

1. What is the distance and direction traveled during the 0s-8s time period? 2. What is the distance and direction traveled during the 8s-24s time period? 3. How far away and in what direction from their starting position does she end up?