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PHYSICS 211
CHAPTER 2 WORKBOOK
MOTION IN ONE DIMENSION
ANSWERS
________________________________________________
STUDENT’S FULL NAME
DATE DUEPHYSICS 211 CHAPTER 2 MOTION IN ONE DIMENSION
CHAPTER OUTLINE
2.1 DISPLACEMENT
Define kinematics:
The study of motion with regards to space and time only.
What is a frame of reference?
A coordinate system with a starting point used to measure any quantity.
State the definition of displacement and write an equation for displacement.
displacement is a change in position
What are vector and scalar quantities?
a scalar is any physical quantity that can be represented by a single numerical
value.
A vector is any physical quantity that has a magnitude and a direction.
2.2 VELOCITY
Define average velocity and write an equation for average velocity.
average velocity is the ratio of total displacement to the total time
How is the average velocity of a moving object interpreted from the object’s position vs time
graph?
average velocity between two points on a position vs time graph is the slope of
the secant line between the two points
Explain what average speed is and how it differs from average velocity. How is average speed
computed?
Average speed is the ration of total distance traveled to total time and it is a
positive definite scalar. Average velocity is the ration of displacement to time
and is a vector.
avg speed =
-2-How is the instantaneous velocity of a moving object found from its position vs time graph?
inst vel at a point on a position vs time graph is the slope of the line tangent to
the graph at that point.
How is instantaneous speed related to instantaneous velocity?
inst speed is the magnitude of the inst velocity
2.3 ACCELERATION
Define average acceleration and explain how it is calculated.
avg accel is the average change in velocity occurring over time.
Define instantaneous acceleration.
inst is the rate of change of velocity, the limit as the time interval goes to zero of
the average acceleration
How are average and instantaneous acceleration interpreted from an object’s velocity vs time
graph?
avg accel is the slope of a secant line between two points on the graph
inst accel is the slope of a tanget line at one point.
2.4 MOTION DIAGRAMS
What is a motion diagram?

a visual representation of an object’s motion at equal time intervals and showing
velocity and acceleration vectors.
If you are looking at a position vs time graph for an object’s motion, how would you identify a
section that has a negative velocity and a positive acceleration?

the velocity is negative when the change in position is negative and the
acceleration is positive when the position curve curves upward.
2.5 ONE-DIMENSIONAL MOTION WITH CONSTANT ACCELERATION
Paraphrase (in your own words) the 5 steps listed on page 36 for solving accelerated motion
problems:
1. check for consistent units
2. set up a useful coordinate system and draw a motion diagram
-3-3. list the given data and the unknowns
4. consider relevant concepts and conditions then select a basic equation to calculate
unknowns
5. check the answer for order of magnitude and units
2.6 FREELY FALLING OBJECTS
List the conditions for motion to be considered free-fall:
no air resistance
acceleration is constant
What is the numeric value of the free-fall acceleration? Include units.
2 |a| = g = 9.8 m/s
List the full set of free-fall equations when the positive y-axis is pointed upward:

-4-PHYSICS 211 CHAPTER 2 MOTION IN ONE DIMENSION
MULTIPLE CHOICE QUESTIONS
Identify the letter of the choice that best completes the statement or answers the question.

B___ 1. A change in a physical quantity w having initial value w and final value w is given by which ofi f
the following?
a. w - w d. (w - w )/2 i f f i
b. w - w e. none of the abovef i
c. (w + w )/2 f i
A___ 2. Displacement is which of the following types of quantities?
a. vector c. magnitude
b. scalar d. dimensional

A___ 3. Which of the following is not a vector quantity?
a. temperature d. displacement
b. velocity e. force
c. acceleration
A___ 4. In one-dimensional motion, the average speed of an object that moves from one place to
another and then back to its original place has which of the following properties?
a. It is positive. d. It can be positive, negative, or zero.
b. It is negative. e. It isn't zero. [THIS IS ALSO TRUE]
c. It is zero.
D___ 5. In one-dimensional motion where the direction is indicated by a plus or minus sign, the average
velocity of an object has which of the following properties?
a. It is positive. d. It can be positive, negative, or zero.
b. It is negative. e. It isn't zero.
c. It is zero.
C___ 6. An object moves 20 m east in 30 s and then returns to its starting point taking an additional 50
s. If west is chosen as the positive direction, what is the sign associated with the average
velocity of the object?
a. + d. any of the above
b. - e. It isn't zero.
c. 0 (no sign)
B___ 7. A bird, accelerating from rest at a constant rate, experiences a displacement of 28 m in 11 s.
What is the average velocity?
a. 1.7 m/s d. 4.2 m/s
b. 2.5 m/s e. zero
c. 3.4 m/s
-5-B___ 8. Jeff throws a ball straight up. For which situation is the vertical velocity zero?
a. on the way up d. both a and c are correct
b. at the top e. none of the above
c. on the way back down
C___ 9. Changing the positive direction in a reference frame to the opposite direction does not change
the sign of which of the following quantities?
a. velocity d. displacement
b. average velocity e. acceleration
c. speed
B__ 10. On a position versus time graph, the slope of the straight line joining two points on the plotted
curve that are separated in time by the interval Dt, is which of the following quantities?
a. average steepness d. average acceleration
b. average velocity e. instantaneous acceleration
c. instantaneous velocity
E__ 11. An x vs. t graph is drawn for a ball moving in one direction. The graph starts at the origin and
at t = 5 s the velocity of the ball is zero. We can be positive that at t = 5 s,
a. the slope of the curve is non-zero. d. the curve is at x = 0, t = 0.
b. the ball has stopped. e. the slope of the curve is zero.
c. the acceleration is constant.
B__ 12. A v vs. t graph is drawn for a ball moving in one direction. The graph starts at the origin and at
t = 5 s the acceleration of the ball is zero. We know that at t = 5 s,
a. the slope of the curve is non-zero. d. the curve is at v = 0, t = 0.
b. the velocity of the ball is not changing. e. the velocity of the ball is zero.
c. the curve is not crossing the time axis.
D__ 13. The value of an object's acceleration may be characterized in equivalent words by which of the
following?
a. displacement d. rate of change of velocity
b. rate of change of displacement e. the change of velocity
c. velocity
C__ 14. In the case of constant acceleration, the average velocity equals the instantaneous velocity:
a. at the beginning of the time interval.
b. at the end of the time interval.
c. half-way through the time interval.
d. three-fourths of the way through the time interval.
e. one-fourth of the way

-6-B__ 15. Two objects of different mass are released simultaneously from the top of a 20-m tower and
fall to the ground. If air resistance is negligible, which statement best applies?
a. The greater mass hits the ground first.
b. Both objects hit the ground together.
c. The smaller mass hits the ground first.
d. No conclusion can be made with the information given.

B__ 16. A baseball catcher throws a ball vertically upward and catches it in the same spot when it
returns to his mitt. At what point in the ball's path does it experience zero velocity and non-zero
acceleration at the same time?
a. midway on the way up
b. at the top of its trajectory
c. the instant it leaves the catcher's hand
d. the instant before it arrives in the catcher's mitt
e. midway on the way down


-7-PHYSICS 211 CHAPTER 2 MOTION IN ONE DIMENSION
ADDITIONAL QUESTIONS
1. Calculate the overall average speed of a car that travels 100 miles in 3 hours followed by 150 miles in
4 hours.
2. A runner averaging 8 m/s runs 5 km. How long does it take him?
23. A cat accelerates from rest at 1.5 m/s . What will the cat’s speed be after 4.5 seconds?
How far will it have traveled after 3 seconds?
-8-4. An airplane on the deck of an aircraft carrier must accelerate from rest to 175 mph in a distance
of 75 m. What average acceleration is required? How long does this take?

5. A car traveling 40 mph makes a smooth stop in 5.5 seconds. How far does it travel during the
stop? What is its average acceleration?

-9-6. Electrons in an x-ray tube are accelerated from rest through a distance of 0.2 m in 1.5 ns. What is
the acceleration of the electrons? What is their final velocity?


7. A pebble is dropped from a bridge and splashes into the water 1.75 seconds later. How high is
the bridge above the water?

-10-