Earl E. Bird travels 30.0 m/s for 10.0 seconds. He then
accelerates at 3.00 m/s2 for 5.00 seconds.
1. Construct a velocity-time graph for Earl E. Bird's motion.
Use the plot to determine the total distance traveled.
2. Divide the motion of the Earl E. Bi
Vera Side is speeding down the interstate at 45.0 m/s. Vera looks ahead
and observes an accident that results in a pileup in the middle of the
road. By the time Vera slams on the breaks, she is 50.0 m from the
pileup. She slows down at a rate of -10.0 m/
Chuck Wagon travels with a constant velocity of 0.5 mile/minute for 10
minutes. Chuck then decelerates at -.25 mile/min2 for 2 minutes.
1. Sketch a velocity-time graph for Chuck Wagon's motion. Use the
velocity-time graph to determine the total distance
Luke Autbeloe, a human cannonball artist, is shot off the edge of a cliff with
an initial upward velocity of +40.0 m/s. Luke accelerates with a constant
downward acceleration of -10.0 m/s2 (an approximate value of the
acceleration of gravity).
1. Sketch
Otto Emissions is driving his car at 25.0 m/s. Otto accelerates at 2.0
m/s2 for 5 seconds. Otto then maintains a constant velocity for 10.0
more seconds.
1. Represent the 15 seconds of Otto Emission's motion by sketching a
velocity-time graph. Use the gr
Check Your Understanding
1.
2.
Rennata Gas is driving through town at 25.0 m/s and
begins to accelerate at a constant rate of -1.0 m/s2.
Eventually Rennata comes to a complete stop.
Represent Rennata's accelerated motion by sketching
a velocity-time graph
example
1.
An object that moves with a constant velocity of +5 m/s
for a time period of 5 seconds and then accelerates to
a final velocity of +15 m/s over the next 5 seconds.
What is the acceleration of the object? How far did the
object travel in total o
Kinematics Equations and Graphs
there are now two methods to solve problems involving
the numerical relationships between displacement,
velocity, acceleration and time.
Using _
Using _
3.
Upton Chuck is riding the Giant Drop at Great
America. If Upton free falls for 2.6 seconds, what will
be his final velocity and how far will he fall?
Check Your Understanding
1. An airplane accelerates down a runway at 3.20 m/s2 for
32.8 s until is finally lifts off the ground. Determine the
distance traveled before takeoff.
Given:
Find:
Example B
Rex Things throws his mother's crystal vase vertically
upwards with an initial velocity of 26.2 m/s. Determine the
height to which the vase will rise above its initial height.
Example A
Luke Autbeloe drops a pile of roof shingles from the top of a
roof located 8.52 meters above the ground. Determine the
time required for the shingles to reach the ground.
Kinematics Equations and Free Fall
1. An object in free fall experiences an acceleration of -9.81 m/s2. (
downward acceleration.)
2. If an object is merely dropped (as opposed to being thrown) from an
elevated height, then the initial velocity of the obj
Example B
Ben Rushin is waiting at a stoplight. When it finally turns
green, Ben accelerated from rest at a rate of a 6.00 m/s2
for a time of 4.10 seconds. Determine the displacement
of Ben's car during this time period.
Example A
Ima Hurryin is approaching a stoplight moving with a
velocity of +30.0 m/s. The light turns yellow, and Ima
applies the brakes and skids to a stop. If Ima's
acceleration is -8.00 m/s2, then determine the
displacement of the car during the skidd
The strategy for solving problems:
1. Identify and list the given information in
variable form.
2. Identify and list the unknown information in
variable form.
3. Identify and list the equation that will be used
to determine unknown information from known
Lesson 6 : Describing Motion
with Equations
1. The Kinematics Equations
2. Kinematics Equations and ProblemSolving
3. Kinematics Equations and Free Fall
4. Sample Problems and Solutions
5. Kinematics Equations and Graphs
The Big Misconception
the acceleration of a free-falling object (on earth) is 9.81 m/s2.
This value (known as the acceleration of gravity) is the same
for all free-falling objects regardless of
_
_.
_.
How Fast? and How Far?
The formula for determining the velocity of a falling object
from rest after a time of t seconds is vf = _
The distance fallen from rest after a time of t seconds is
given by the formula:
d = _
Acceleration is the rate at which an object changes its velocity.
It is the ratio of velocity change to time between any two points
in an object's path.
To accelerate at 9.81
m/s/s means to change
the velocity by
_ m/s each
second.
If the velocity and t
acceleration of gravity - _
_
_
the symbol g is used to represent the
acceleration of gravity.
g = _
The value of the acceleration of gravity (g) is different in
different gravitational environments.
On the moon, g = 1.6 m/s2
On Mercury, g = 3.7 m/s
Lesson 5 - Free Fall and the
Acceleration of Gravity
Introduction to Free Fall:
There are two important motion characteristics that are
true of free-falling objects:
_.
_.
Ticker tape trace for free
fall
Lesson 5 : Free Fall and the
Acceleration of Gravity
1.
2.
3.
4.
5.
Introduction to Free Fall
The Acceleration of Gravity
Representing Free Fall by Graphs
How Fast? and How Far?
The Big Misconception