1. In the ratios below, give the value of the ratio, including units, then describe in complete sentences the meaning of each ratio.

a. (4 lbs of chocolate) / (5 people)

b. (-10 m/s + 4 m/s) / 3 s

2. a. Draw a reference frame, displacement vectors, and the total displacement vector for a dog that first walks 40 yds east, then 30° north of east for 60 more yards.

3. A gerbil travels in the path indicated in the figure below in 20 seconds. Findthe gerbil's:

a. total displacement

b. distance travelled.

c. average velocity

d. average speed

4. In the position vs. time graphs below, all the times are in seconds (s), and all the positions are in meters (m). Rank these graphs on the basis of which graph indicates the greatest displacement from beginning to end of motion. Give the highest rank to the one(s) with the greatest displacement, and give the lowest rank to the one(s) indicating the least displacement. If two graphs indicate the same displacement, give them the same rank. Note: Zero is greater than negative, and ties are possible.

Greatest 1_______ 2________ 3________ 4_________ 5_________ 6_______ Least

5. Draw a motion diagram on the reference frame below for a cat moving with negative acceleration and positive velocity.

6. Find the total displacement traveled in 8 seconds by the object with this velocity vs time curve.

7. Use complete sentences to describe the motion of the object with the velocity vs time curve in problem 6.

8. Draw the acceleration vs time and displacement vs time (assume the object starts at the origin ) graphs for the object with the velocity vs time graph in problem 6.

For problem 9 below, here's how you get paid:

Draw picture -1 point

Draw reference frame -1 point

Draw motion diagrams for the object over each time interval (if different) to determine signs for velocities and accelerations. -2 point

Indicate with A, B, C, etc, the pertinent events. -1 point

Write down x, v, and t values for the object in question at each of these positions, and acceleration between them. Include equations where appropriate -2 point

9. A metro train in Washington, D.C., starts from rest and accelerates at 2.0 m/s2 for 12 s. The train travels at a constant speed for 65 s. The speed of the train then decreases for 24 s until it comes to a stop. What is the total distance between stops?

10. Given the two vectors below, draw the vector: Use two separate diagrams.
a) A + B and Label it!
b) A - B and Label it!

11.
1. Draw ref. Frame
2. Draw motion diagrams in both vertical and horizontal directions.
3. Mark on picture points A and B
4. Write down in neat column form, values for x, vx , ax,, y, vy , ay and t at each point.

Do not solve the problem.

11. The famous Daredevil Gazelle Gi-Gi is giving a ballet performance on the deck of the USS OutThere aircraft carrier when she slips on a wet spot and slides horizontally off the deck at a speed of 60 m/s. If the deck is 80 meters above the water, how far does Gi-Gi have to swim to get back to the ship before the sharks get her?

12. Construct a free body diagram for the mass M as it moves down the incline. All surfaces have friction.

13.A 100 kg cart, initially at rest, rolls down a 50 m long frictionless hill. At the bottom, the cart stops after plowning 2 m into a haystack. Draw the bar chart for this problem.

14. Find the moment of inertia of this system of masses if the axis of rotation is located as indicated on the diagram. All the horizontal and vertical distances between masses is a, all point masses have mass m.