Name ______________________________
Period _______
Unit 2 Review
What you should know when all is said and done
1.
Know all objectives from unit 1.
2. Given a x vs. t graph, you should be able to:
a. describe the motion of the object (starting position, direction of motion, velocity)
b. draw the corresponding v vs. t graph
c. draw the corresponding a vs. t graph
d. draw a motion map for the object (including velocity and acceleration vectors)
e. determine the average velocity (slope of secant)
f. determine the instantaneous velocity of the object at a given time (slope of tangent)
g. determine the position at a given time
3. Given a v vs. t graph, you should be able to:
a. describe the motion of the object (starting velocity, direction of motion, acceleration)
b. draw the corresponding x vs. t graph
c. draw the corresponding a vs. t graph
d. draw a motion map for the object (including velocity and acceleration vectors)
e. write a mathematical model (equation) to describe the motion
f. determine the acceleration (slope)
g. determine the displacement for a given time interval (area)
4. You should be able to determine the instantaneous velocity of an object in three ways:
a. determining the slope of the tangent to an x vs. t graph at a given point.
b. using the mathematical model v = at + v0
c. using the mathematical model v2 = 2aΔx + v02
5. You should be able to determine the displacement of an object in three ways:
a. finding the area under a v vs. t curve
b. using the mathematical model Δx = ½ at2 + v0t
c. using the mathematical model v2 = 2aΔx + v02
6. You should be able to determine the acceleration of an object in five ways:
a. finding the slope of a v vs. t graph
b. using the mathematical model a 
v
t
c. rearranging the mathematical model Δx = ½ at2 + v0t
d. rearranging the mathematical model v = at + v0
e. rearranging the mathematical model v2 = 2aΔx + v02
7. Use the acceleration due to gravity (ag) to find…for an object in
free fall.
a. the time,
b. the distance or displacement,
c. speed or velocity (initial or final),
d. or any other variable solved for in your worksheet questions.
e. Know when to make 9.8 m/s2 negative.
f. Know all variables and units.
Also, you might try:
http://www.physicsclassroom.com/Class/1DKin/
http://phet.colorado.edu/simulations/sims.php?sim=The_Moving_Man
http://www.walter-fendt.de/ph14e/acceleration.htm
Below are the formulas you will be provided: In the 2nd column, rewrite the equation using
words. In the 3rd column, rewrite the equation using units. An example has been provided
below:
E = mc2
Energy = mass * (speed of light)2
J = kg * (m/s)2
Δx = x – x0
𝑣̅ = Δx / Δt
v = at + v0
Δx = ½ at2 + v0t
v2 = 2aΔx + v02
The following are just a sample of problems. Study all worksheets and quizzes as well.
Use the graph below to answer questions #1-4 that follow:
1. Give a written description to describe the motion of this object.
2. Draw the motion map for the object. Include velocity and acceleration vectors.
3. Explain how you could determine from the graph the instantaneous velocity of the object at t =
2s.
4. Explain how you could determine from the graph the average velocity of the object from t = 0s to
t = 10s.
5. If the initial velocity was 50 m/s and the displacement is 40 m; determine the acceleration of the
object in 10 seconds.
6. A Pontiac Trans-Am, initially at rest, accelerates at a constant rate of 4.0 m/s2 for 6 s. How fast
will the car be traveling at t = 6 s?
7. A tailback initially running at a velocity of 5.0 m/s becomes very tired and slows down at a
uniform rate of 0.25 m/s2. How fast will he be running after going 10 meters at this rate?
8. Fill out the missing cells from the table below:
x vs. t Graph
v vs. t Graph
Written Description
Motion Map
9. For each of the position vs. time graphs shown below, draw the corresponding v vs. t, a vs. t, and
motion map.
10. A brick is dropped from a bridge. It is seen to hit the water below 3.1 s later. How high is this
bridge?
11. The Sears Tower is nearly 400 m high.
(a) How long would it take a steel ball to reach the ground if dropped from the top?
(b) What will be its velocity the moment before it touches the ground?
12. A ball is thrown vertically up from the ground with a speed of 24 m/s.
(a) How fast is it moving when it is 20 m above the ground?
(b) How much time is required to attain this height?
13. On the moon, a hammer and a feather fall at the same _____________________________.