Name ________________________________ Class ____________________ Date _______________________
Holt Physics: Motion in One Dimension
Mathematics
DIRECTIONS: In this section, solve each problem using any available space on
the page for scratch work. Then decide which of the choices given is best and fill
in the corresponding circle on the answer sheet.
NOTES:
Reference Information
1. The use of a calculator is permitted. All numbers used are real numbers.
2. Figures that accompany problems in this test are intended to provide
information useful in solving the problems. They are drawn as accurately as
possible EXCEPT when it is stated in a specific problem that the figure is not
drawn to scale. All figures lie in a plane unless otherwise indicated.
Displacement
Δx = xf – xi
Velocity with Constant Acceleration
v f = vi + at
Average Velocity
x  xi
x
vavg =
= f
t
t f  ti
Displacement with Constant Acceleration
Average Acceleration
v  vi
v
aavg =
= f
t
t f  ti
Final Velocity after Any Displacement
1
2
x = vi t  a  t 
2
v f 2 = vi 2  2ax
Displacement with Constant Acceleration
1
x =
vi + v f t
2


1. A girl rides her bike with an average
velocity of 15.2 km/h northward. If it takes
her 25 min to ride to her friend’s house,
what is her displacement?
2. A man hikes 6.6 km north along a straight
path with an average velocity of 4.2 km/h
to the north. He rests at a bench for 15 min.
Then, he hikes 3.8 km north with an
average velocity of 5.1 km/h to the north.
How long does the total hike last?
(A) 1.6 km
(B) 3.8 km
(A) 1.1 h
(C) 6.3 km
(B) 2.0 h
(D) 7.6 km
(C) 2.2 h
(E) 380 km
(D) 2.3 h
(E) 2.6 h
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Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 2
1
Essay
Name ________________________________ Class ____________________ Date _______________________
Mathematics continued
Questions 3 is based on the following graph
that shows the distance an object traveled
along a straight path as a function of time.
4. With an average acceleration of 1.5 m/s2,
how long will it take a driver to accelerate
from a complete stop to 25 km/h?
(A) 3.6 s
(B) 4.6 s
(C) 17 s
(D) 60 s
(E) 280 s
5. A cheetah runs at a steady velocity of
60 km/h (16.7 m/s). Over a period of 5.0 s,
the cheetah increases its pace to 95 km/h
(26.4 m/s). What is the average
acceleration of the cheetah over this
period?
(A) 1.9 m/s2
(B) 3.5 m/s2
3. During which of the following time periods
did the object travel at a constant velocity?
(C) 7.0 m/s2
(A) 0–5 s
(D) 9.7 m/s2
(B) 0–15 s
(E) 48 m/s2
(C) 15–20 s
6. An elevator accelerates uniformly from rest
to a speed of 2.5 m/s in 12 s. What is the
distance the elevator travels during this
time?
(D) 20–25 s
(E) 20–30 s
(A) 1.3 m
(B) 4.8 m
(C) 14 m
(D) 15 m
(E) 30 m
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Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 2
2
Mathematics
Name ________________________________ Class ____________________ Date _______________________
Mathematics continued
Questions 7 and 8 are based on the following illustration, which shows the positions of a
feather and a rock over time as they fall in a vacuum. NOTE: Figure is not to scale.
7. What is the feather’s average acceleration
during the first 2 s?
10. A child on a tricycle starts from rest,
uniformly accelerating at a rate of
0.35 m/s2. What is the velocity of the
tricycle after it has traveled 750 cm?
(A) 4.9 m/s2
(B) 9.8 m/s2
(A) 0.72 m/s
(C) 14.7 m/s2
(B) 2.3 m/s
(D) 19.6 m/s2
(C) 2.6 m/s
(E) 39.2 m/s2
(D) 5.2 m/s
(E) 23 m/s
8. If the feather continued to fall at this same
acceleration, what would its velocity be
after 20 s?
11. A clown throws a juggling pin upward with
an initial velocity of 10.5 m/s. How long
will the pin take to return to its starting
point?
(A) 2 m/s
(B) 20 m/s
(C) 200 m/s
(A) 0.934 s
(D) 2,000 m/s
(B) 1.07 s
(E) 20,000 m/s
(C) 1.87 s
(D) 2.14 s
9. A boat with an initial speed of 5.0 m/s
accelerates at a uniform rate of 1.2 m/s2 for
5.0 s. What is the final speed of the boat
during this time?
(A) 6.0 m/s
(D) 26 m/s
(B) 6.2 m/s
(E) 31 m/s
(E) 19.6 s
(C) 11 m/s
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics: Chapter 2
3
Mathematics