Constant Acceleration Review Sheet

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Name: ____________________
Constant Acceleration Review Sheet
Modified True/False
Indicate whether the sentence or statement is true or false. If false, change the identified word or phrase to make the
sentence or statement true.
____
1. The rate of change of the speed of an object is called its acceleration. ___________
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____
____
____
____
____
____
___
2. If an object has an acceleration of 0 m/s every second, which of the following may happen?
a.
The object increases its speed.
b.
The object reverses its direction.
c.
The object moves at a constant speed.
d.
None of the above.
3. When an object is decreasing speed we can say it is
a.
Accelerating
b.
Motionless
c.
Decelerating
d.
Stopped
4. Units of measurement used to label a quantity of acceleration are:
a.
m2/sec.
b.
sec2/m.
c.
m/sec.
d.
m/sec2.
5. Acceleration is:
a.
The distance between two dots.
b.
The distance divided by time.
c.
The rate of change in the speed of an object
d.
Mr. Goett and Dr. Bitko running to the finish line of a race.
6. Ana glances at the speedometer on her car as she begins to roll downhill. It indicates she is traveling at 10
miles per hour when she initially looks at it and 25 miles per hour 5 seconds later. Her acceleration is:
a.
3 mph/sec.
b.
6 mph/sec.
c.
12 mph/sec.
d.
24 mph/sec.
7. The slope of a velocity versus time graph represents:
a.
distance traveled.
b.
speed
c.
Time
d.
acceleration..
8. The slope of the line of a graph is calculated by:
a.
dividing the run by the rise.
b.
multiplying the run by the rise.
c.
dividing the rise by the run.
d.
None of the above.
Name: ____________________
Completion
Complete each sentence or statement.
9. The amount of change in the speed of an object divided by the amount of time it took to change the speed
represents ____________________.
10. The ratio of the “rise” (vertical change) to the “run” (horizontal change) of the best-fit line on a graph
represents the ____________________ of the graph.
Short Answer
11. An object is moving with constant speed. Describe two ways to change this motion that would cause the
object to accelerate. Give an example of each.
_____________________________________________________________________________
_____________________________________________________________________________
12. Give an example of an object with a positive acceleration.
_____________________________________________________________________________
_____________________________________________________________________________
13. Give an example of an object with a negative acceleration.
_____________________________________________________________________________
In each of the motion diagrams below, determine the value and direction of the acceleration. Add
the squiggly acceleration answer to show your answer.
14.
Value of the acceleration: _________________
Add the acceleration arrow.
15.
Value of the acceleration: _________________
Add the acceleration arrow.
Name: ____________________
16. The horse was racing in the Derby. He went from 2mph to 10mph in 4 seconds. Solve for the acceleration.
Asking for:
Equation:
a=
Given:
v2 - v1
t
Solution:
17. A track runner stops at the end of a race. She goes from 10m/s to 0m/s in 5 seconds. Solve for the acceleration.
Asking for:
Equation:
a=
Given:
v2 - v1
t
Solution:
18.
Mr. Goett is going to drop a marble. Draw a motion diagram showing the motion that you predict will occur.
Name: ____________________
19. Mary throws a ball straight upwards. Draw a motion diagram for the ball from
the time it leaves her hand to the time it reaches its highest point.
Name: ____________________
20. Kaitlyn was running down a long 100 m track. The coach used a motion sensor to measure her
velocity every 0.1 seconds. Here is her data for the first second. Calculate her acceleration using the velocity vs. time graph.
Calculate the slope and find the acceleration:
Name: ____________________
21. Students in class used a motion sensor to measure the speed of Ms. McCourt’s car every 0.2
seconds as it was driving down the road. Calculate her acceleration.
Calculate the slope and find the acceleration:
Name: ____________________
22.
The moving man at the tree. His is walking with a starting velocity of 2 m/s to the
right. He accelerates at 1 m/s2. Predict where he will be 3 seconds later.
Looking For:
Equation:
x = xo + vo t + ½ at2
Given:
xo =
Solve:
vo =
t=
a=
23.
A penny is dropped from the Empire State Building downward. It starts at
position 0m. Its starting velocity is 0 m/s. It accelerates at 10 m/s2. How far has it
fallen after 2 seconds (find x)?
Looking For:
Equation:
x = xo + vo t + ½ at2
Given:
xo =
a=
Solve:
vo =
t=
Name: ____________________
Calculating Acceleration from Position using
Data Tables and Motion Diagrams
Problem 24:
Speed = _____
Time interval
______
________
Distance traveled
(m)
________
Time elapsed
(s)
Average Speed
(m/s)
0s to 1s
1s to 2s
2s to 3s
3s to 4s
Acceleration = ___________________
Problem 25
Speed =
____
_____
Time interval
_____
Distance traveled
(m)
_____
Time elapsed
(s)
0s to 1s
1s to 2s
2s to 3s
3s to 4s
Acceleration = ___________________
Average Speed
(m/s)
Name: ____________________
Constant Acceleration
Answer Section
MODIFIED TRUE/FALSE
1. ANS: T
MULTIPLE CHOICE
2.
3.
4.
5.
6.
7.
8.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
C
D
C
A
D
C
COMPLETION
9. ANS: acceleration
10. ANS: slope
SHORT ANSWER
11 ANS:
Answers will vary. Examples include:
Changes in speed and /or direction represent acceleration of a body. Applying the brakes to slow a car or
stepping on the gas pedal to increase the speed of the car would cause negative acceleration (deceleration) or
positive acceleration. Turning the steering wheel would cause a change in direction, also acceleration. Turning on a snowboard as you slow to a stop would represent a change in direction and speed, both examples of
acceleration.
12. Positive acceleration: for example: a car with its velocities increasing
13. Negative acceleration: for example: a car with its velocities decreasing
14 ANS: 4/m/s/s (acceleration arrow to the right)
15 Ans= -5m/s/s (acceleration arrow to the left)
Name: ____________________
PROBLEM
16. The horse was racing in the Derby. He went from 2mph to 10mph in 4 seconds. Solve for the acceleration.
Asking for:
ACCELERATION
What know:
10mph – 2mph
4sec
V1 = 2mph
V2 = 10mph
T = 4 second
8mph
4sec
= 2mph/s
Equation
a=
v2 - v1
t
17. A track runner stops at the end of a race. She goes from 10m/s to 0m/s in 5 seconds. Solve for the acceleration.
Asking for:
ACCELERATION
Solution
0m/s – 10m/s
5sec
What know:
V1 = 10m/s
V2 = 0 m/s
T = 5 second
Equation
a=
v2 - v1
t
- 10m/s
5 sec
= - 2 m/s/s
Name: ____________________
Problem 18.
Mr. Goett is going to drop a marble. Draw a motion diagram showing the motion
that you predict will occur.
Problem 19.
Mary throws a ball straight upwards. Draw a motion diagram for the ball from the
time it leaves her hand to the time it reaches its highest point.
Name: ____________________
Problem 20.
Kaitlyn was running down a long 100 m track. The coach used a motion sensor to measure her
velocity every 0.1 seconds. Here is her data for the first second. Calculate her acceleration using the velocity vs. time graph.
Calculate the slope and find the acceleration:
Slope = 10 m/s/s
Acceleration = 10 m/s/s
Name: ____________________
Problem 21
Students in class used a motion sensor to measure the speed of Ms. McCourt’s car every 0.2 seconds as it was driving down the road. Calculate her acceleration.
Calculate the slope and find the acceleration:
Slope = 5 m/s/s
Acceleration = 5 m/s/s
Name: ____________________
Problem 22
The moving man at the tree. His is walking with a starting velocity of 2 m/s to the right.
He accelerates at 1 m/s2. Predict where he will be 3 seconds later.
Looking For:
Equation:
x = xo + vo t + ½ at2
Final position
Given:
xo = -8 m
Solve:
vo = 2 m/s
t =3 s
a= 1 m/s/s
x = -8 + 2*3 + ½ 1*32
x = 2.5 m
Problem 23)
A penny is dropped from the Empire State Building downward. It starts at position
0m. Its starting velocity is 0 m/s. It accelerates at 10 m/s2. How far has it fallen
after 2 seconds (find x)?
Looking For:
Equation:
Final position
x = xo + vo t + ½ at2
Given:
Solve:
xo = 0 m vo = 0 m/s
t = 2s
x = 0 + 0*2 + ½ 10*22
a= 10 m/s2
x=20 m
Name: ____________________
Calculating Acceleration from Position using
Data Tables and Motion Diagrams
Calculating Acceleration from Position using
Data Tables and Motion Diagrams
Problem 24:
Speed = _____
Time interval
______
________
________
0s to 1s
Distance traveled
(m)
2
Time elapsed
(s)
Average Speed
(m/s)
1
2 m/s
1s to 2s
6
1
6 m/s
2s to 3s
10
1
10 m/s
3s to 4s
14
1
14 m/s
Acceleration = _+4 m/s/s________
Problem 25
Speed =
____
_____
Time interval
_____
_____
0s to 1s
Distance traveled
(m)
2
Time elapsed
(s)
Average Speed
(m/s)
1
2 m/s
1s to 2s
7
1
7 m/s
2s to 3s
12
1
12 m/s
3s to 4s
16
1
16 m/s
Acceleration = __about 5 m/s/s (either 4 m/s/s or 5 m/s/s is acceptable)____
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