1.

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

a. total displacement

b. distance travelled.

c. average velocity

d. average speed

2. a. Draw a reference frame, displacement vectors, and the total displacement vector for a pig that first walks 50 yds 37° north of west, then 53° north of east for 60 more yards.

b. Write these two displacement vectors down in unit vector form (ai + bj form)

c. Add these two vectors to find the total displacement in unit vector form.

3a. Below is the motion diagrams for two different objects C and D. Clock readings are indicated in the boxes.

i) Which is travelling fastest to begin with?

ii) Which travels the greatest distance ?

iii) At which clock readings(instants) do they occupy the same location at the same time?

iv) Is there any time interval over which they have the same average velocity?

v) Are they ever travelling the same speed at any clock reading? If so, when?

vi) Which would accurately indicate the speed of the object at clock reading 2, an arrow drawn from 2 to 3 for C or an arrow drawn from 2 to 3 for D?

3b. Draw a motion diagram on the reference frame below for a cat moving with negative acceleration and positive velocity.

4a. Find the total displacement traveled in 7 seconds by the object with this velocity vs time curve.

4b. Use complete sentences to describe the motion of the object with the velocity vs time curve in 4a.

5. Draw the acceleration vs time and velocity vs time (assume the object starts at the origin ) graphs for the object with the following velocity vs time graph.

6. Given Ay = -3 m and ¨ = 210o, draw A , find Ax and A.

For problem 7 below, here's how you get paid:

Draw picture -2 point

Draw reference frame -2 point

Draw motion diagrams for each 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. -2 point

Write down x, v, and t values for each object at each of these positions, and acceleration between them. -2 point

Solve the problem -2 point

7. Martha is riding in a hot air balloon, rising at a constant 5 m/s. George watches nervously from the ground. At 30 m according to her altimeter, George tosses Harry up to Martha so he can see the sights, whom she catches just as he reaches his maximum height. Assuming you can ignore air resistance and the acceleration due to gravity is 10 m/s2, with what initial velocity did George hurl Harry ?

8. The graph below shows the position vs. clock readings of the motion of two trains running on parallel tracks.

Which of the following is true: Circle the one correct.

A. at time tB both trains have the same velocity

B. both trains speed up all the time

C. both trains have the same velocity at some
time before tB

D. somewhere on the graph, both trains have
the same acceleration

10 point BONUS QUESTION: As the ball rolls down this hill:
WOW! You Crazy Man? This Is Easy!

1. its speed increases and acceleration decreases

2. its speed decreases and acceleration increases

3. both increase

4. both remain constant

5. both decrease