an introduction to acceleration: learning goal the student will solve example questions related to...
TRANSCRIPT
![Page 1: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/1.jpg)
An Introduction to An Introduction to Acceleration: Learning GoalAcceleration: Learning Goal The student will solve example The student will solve example
questions related to uniformly questions related to uniformly accelerated motion. (B2.7, B3.3)accelerated motion. (B2.7, B3.3)
“It goes from zero to 60 in about 3 seconds.”
![Page 2: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/2.jpg)
An Introduction An Introduction to Accelerationto Acceleration
SPH4CSPH4C
![Page 3: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/3.jpg)
AccelerationAcceleration
Acceleration is defined as the change Acceleration is defined as the change in the velocity of an object per in the velocity of an object per interval of time, or:interval of time, or:
![Page 4: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/4.jpg)
AccelerationAcceleration
Acceleration is defined as the change Acceleration is defined as the change in the velocity of an object per in the velocity of an object per interval of time, or:interval of time, or:
t
va
![Page 5: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/5.jpg)
AccelerationAcceleration
Acceleration is defined as the change Acceleration is defined as the change in the velocity of an object per in the velocity of an object per interval of time, or:interval of time, or:
t
vv
t
va
12
![Page 6: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/6.jpg)
AccelerationAcceleration
Acceleration is defined as the change in Acceleration is defined as the change in the velocity of an object per interval of the velocity of an object per interval of time, or:time, or:
vv22 = final velocity and = final velocity and vv11 = initial velocity = initial velocity
t
vv
t
va
12
![Page 7: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/7.jpg)
AccelerationAcceleration
Acceleration will have units of m/s/s or Acceleration will have units of m/s/s or m/sm/s22..
(Notice also that acceleration is a (Notice also that acceleration is a vector.)vector.)
t
vv
t
va
12
![Page 8: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/8.jpg)
Example 1Example 1
Jake increases his velocity from 13 m/s [E] Jake increases his velocity from 13 m/s [E] to 25 m/s [E] in 5.0 s. What is his to 25 m/s [E] in 5.0 s. What is his acceleration?acceleration?
![Page 9: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/9.jpg)
Example 1Example 1
Jake increases his velocity from 13 m/s [E] Jake increases his velocity from 13 m/s [E] to 25 m/s [E] in 5.0 s. What is his to 25 m/s [E] in 5.0 s. What is his acceleration?acceleration?
?
:
0.5
][25
][13
:
2
1
a
Unknown
st
Ev
Ev
Givens
sm
sm
![Page 10: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/10.jpg)
Example 1Example 1
Jake increases his velocity from 13 m/s [E] Jake increases his velocity from 13 m/s [E] to 25 m/s [E] in 5.0 s. What is his to 25 m/s [E] in 5.0 s. What is his acceleration?acceleration?
?
:
0.5
25
13
:
2
1
a
Unknown
st
v
v
Givens
sm
sm
![Page 11: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/11.jpg)
Example 1Example 1
Jake increases his velocity from 13 m/s [E] Jake increases his velocity from 13 m/s [E] to 25 m/s [E] in 5.0 s. What is his to 25 m/s [E] in 5.0 s. What is his acceleration?acceleration?
24.20.5
1325
12
sms
msm
sa
t
vva
?
:
0.5
25
13
:
2
1
a
Unknown
st
v
v
Givens
sm
sm
![Page 12: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/12.jpg)
Example 1Example 1
Jake increases his velocity from 13 m/s [E] to Jake increases his velocity from 13 m/s [E] to 25 m/s [E] in 5.0 s. What is his 25 m/s [E] in 5.0 s. What is his acceleration?acceleration?
His acceleration is 2.4 m/sHis acceleration is 2.4 m/s22 [E].[E].
24.20.5
1325
12
sms
msm
sa
t
vva
?
:
0.5
25
13
:
2
1
a
Unknown
st
v
v
Givens
sm
sm
![Page 13: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/13.jpg)
Example 2Example 2
Richard reduces his velocity from 15 m/s Richard reduces his velocity from 15 m/s [forward] to 12 m/s [forward] in 4.0 s. [forward] to 12 m/s [forward] in 4.0 s. What is his acceleration?What is his acceleration?
![Page 14: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/14.jpg)
Example 2Example 2
Richard reduces his velocity from 15 m/s Richard reduces his velocity from 15 m/s [forward] to 12 m/s [forward] in 4.0 s. [forward] to 12 m/s [forward] in 4.0 s. What is his acceleration?What is his acceleration?
?
:
0.4
12
15
:
2
1
a
Unknown
st
v
v
Givens
sm
sm
![Page 15: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/15.jpg)
Example 2Example 2
Richard reduces his velocity from 15 m/s Richard reduces his velocity from 15 m/s [forward] to 12 m/s [forward] in 4.0 s. [forward] to 12 m/s [forward] in 4.0 s. What is his acceleration?What is his acceleration?
275.00.4
1512
12
sms
msm
sa
t
vva
?
:
0.4
12
15
:
2
1
a
Unknown
st
v
v
Givens
sm
sm
![Page 16: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/16.jpg)
Example 2Example 2
Richard reduces his velocity from 15 m/s Richard reduces his velocity from 15 m/s [forward] to 12 m/s [forward] in 4.0 s. What [forward] to 12 m/s [forward] in 4.0 s. What is his acceleration?is his acceleration?
His acceleration is 0.75 m/sHis acceleration is 0.75 m/s22 [backward].[backward].
275.00.4
1512
12
sms
msm
sa
t
vva
?
:
0.4
12
15
:
2
1
a
Unknown
st
v
v
Givens
sm
sm
![Page 17: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/17.jpg)
Rearranging the Rearranging the EquationEquation
The equation that The equation that represents the represents the definition of definition of acceleration may acceleration may be rearranged to be rearranged to solve for any of solve for any of the other the other variables, e.g.variables, e.g.
(solving for (solving for vv22))
![Page 18: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/18.jpg)
Rearranging the Rearranging the EquationEquation
The equation that The equation that represents the represents the definition of definition of acceleration may acceleration may be rearranged to be rearranged to solve for any of solve for any of the other the other variables, e.g.variables, e.g.
![Page 19: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/19.jpg)
Rearranging the Rearranging the EquationEquation
The equation that The equation that represents the represents the definition of definition of acceleration may acceleration may be rearranged to be rearranged to solve for any of solve for any of the other the other variables, e.g.variables, e.g.
![Page 20: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/20.jpg)
Rearranging the Rearranging the EquationEquation
The equation that The equation that represents the represents the definition of definition of acceleration may acceleration may be rearranged to be rearranged to solve for any of solve for any of the other the other variables, e.g.variables, e.g.
![Page 21: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/21.jpg)
Rearranging the Rearranging the EquationEquation
The equation that The equation that represents the represents the definition of definition of acceleration may acceleration may be rearranged to be rearranged to solve for any of solve for any of the other the other variables, e.g.variables, e.g.
![Page 22: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/22.jpg)
Rearranging the Rearranging the EquationEquation
The equation that The equation that represents the represents the definition of definition of acceleration may acceleration may be rearranged to be rearranged to solve for any of solve for any of the other the other variables, e.g.variables, e.g.
tavvor
vvta
vvvvta
vvta
tt
vvta
t
vva
12
21
1121
12
12
12
![Page 23: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/23.jpg)
Example 3Example 3
A ball is travelling at 12 m/s [up] and being A ball is travelling at 12 m/s [up] and being accelerated at 9.8 m/saccelerated at 9.8 m/s22 [down]. What is [down]. What is its velocity after 2.0 s?its velocity after 2.0 s?
?
:
0.2
8.9
12
:
2
1
2
v
Unknown
st
a
v
Givens
sm
sm
![Page 24: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/24.jpg)
Example 3Example 3
A ball is travelling at 12 m/s [up] and being A ball is travelling at 12 m/s [up] and being accelerated at 9.8 m/saccelerated at 9.8 m/s22 [down]. What is [down]. What is its velocity after 2.0 s?its velocity after 2.0 s?
?
:
0.2
8.9
12
:
2
1
2
v
Unknown
st
a
v
Givens
sm
sm
![Page 25: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/25.jpg)
Example 3Example 3
A ball is travelling at 12 m/s [up] and being A ball is travelling at 12 m/s [up] and being accelerated at 9.8 m/saccelerated at 9.8 m/s22 [down]. What is [down]. What is its velocity after 2.0 s?its velocity after 2.0 s?
?
:
0.2
8.9
12
:
2
1
2
v
Unknown
st
a
v
Givens
sm
sm
sm
sm
sm svSolve
tavvt
vvaSelect
6.7)0.2)(8.9(12:
:
22
1212
![Page 26: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/26.jpg)
Example 3Example 3
A ball is travelling at 12 m/s [up] and being A ball is travelling at 12 m/s [up] and being accelerated at 9.8 m/saccelerated at 9.8 m/s22 [down]. What is [down]. What is its velocity after 2.0 s?its velocity after 2.0 s?
Its velocity is 7.6 m/s Its velocity is 7.6 m/s [down].[down].?
:
0.2
8.9
12
:
2
1
2
v
Unknown
st
a
v
Givens
sm
sm
sm
sm
sm svSolve
tavvt
vvaSelect
6.7)0.2)(8.9(12:
:
22
1212
![Page 27: An Introduction to Acceleration: Learning Goal The student will solve example questions related to uniformly accelerated motion. (B2.7, B3.3) The student](https://reader035.vdocuments.net/reader035/viewer/2022062620/551acc0555034606048b4f2e/html5/thumbnails/27.jpg)
More PracticeMore Practice
Playing with the Ticker Timers and Playing with the Ticker Timers and AccelerationAcceleration
Graphing AccelerationGraphing Acceleration