p.3
Unit Conversion Techniques
How do you convert kilometers per hour to meters per second?
Multiply by 1000 to convert kilometers to meters, then divide by 3600 (60 minutes x 60 seconds) to convert hours to seconds.
What is speed?
Speed is how fast an object changes its location.
p.1
Average Speed Calculation
How is speed calculated?
Speed is always some distance divided by some time.
What are some units of speed?
Miles per hour, meters per second, kilometers per hour, inches per minute.
p.1
Average Speed Calculation
How is average speed defined?
Average speed is total distance divided by total time.
p.1
Average Speed Calculation
What is the formula for average speed?
Average speed = distance traveled / time of travel.
p.2
Unit Conversion Techniques
What is the result of converting 70 kilometers per hour to miles per hour?
43.5 miles per hour (MPH).
p.2
Unit Conversion Techniques
Is it easier to multiply by 0.6214 or divide by 1.609 for conversion?
It is easier to multiply by 0.6214.
p.28
Instantaneous Speed vs. Average Speed
What does a steeper slope indicate in terms of instantaneous velocity?
A greater instantaneous velocity.
p.18
Acceleration and Its Types
What does the direction of the acceleration vector indicate?
It indicates the direction of the change in velocity (∆v).
p.9
Instantaneous Speed vs. Average Speed
What can the highway patrol be 100% certain of if your average speed exceeds the posted limit?
Your instantaneous speed was over the posted limit.
p.36
Acceleration and Its Types
What does a steep slope on a graph indicate?
A rapid change in velocity (or speed) and thus a large acceleration.
p.37
Acceleration and Its Types
What is the runner's goal in the 100-m Dash?
To reach top speed as soon as possible.
p.31
Acceleration and Its Types
What is the significance of slope in a velocity-time graph?
It represents acceleration.
p.38
Acceleration and Its Types
What does a decreasing slope on the velocity curve indicate?
It indicates that the acceleration is decreasing.
p.8
Instantaneous Speed vs. Average Speed
What is instantaneous speed?
The speed at which an object is moving at a specific instant in time.
p.13
Understanding Velocity
How is the magnitude of instantaneous velocity related to instantaneous speed?
The magnitude is equal to the instantaneous speed at that moment.
p.33
Acceleration and Its Types
At which point is the magnitude of the acceleration the greatest?
At the point where the velocity is changing the fastest.
p.34
Graphing Motion and Interpretation
Is the distance traveled the same for all time intervals?
No, it varies based on the area under the velocity curve.
p.32
Instantaneous Speed vs. Average Speed
What happens to the car's velocity between 4 s and 6 s?
The velocity is decreasing but still positive.
p.30
Instantaneous Speed vs. Average Speed
Is the velocity constant between 0 s and 2 s?
Yes, the velocity is constant during this interval as the graph is flat with a slope of zero.
p.8
Instantaneous Speed vs. Average Speed
What does the speedometer measure?
The instantaneous speed at a given moment.
p.16
Acceleration and Its Types
What does the direction of the acceleration vector indicate?
It indicates the direction of the change in velocity (∆v).
p.31
Acceleration and Its Types
What happens to velocity between 2 s and 4 s?
The velocity is changing fastest.
p.7
Understanding Velocity
Why doesn't a speedometer measure velocity?
Because it does not account for direction.
p.19
Acceleration and Its Types
What happens to acceleration when speed is constant but the direction of velocity changes?
The acceleration is at right angles to the velocity.
Can you give an example of uniform acceleration?
A car moving along a straight road and accelerating at a constant rate.
p.36
Acceleration and Its Types
What does a horizontal line on a graph represent?
Zero slope, indicating zero acceleration.
p.29
Understanding Velocity
When does the velocity change in relation to the distance graph?
The velocity changes only when the slope of the distance graph changes.
When does uniform acceleration occur?
Whenever there is a constant force acting on an object.
p.42
Graphing Motion and Interpretation
How does the distance covered change over time in uniform acceleration?
It grows more and more rapidly with time.
p.22
Acceleration and Its Types
What is instantaneous acceleration?
The acceleration at a precise instant in time.
p.37
Instantaneous Speed vs. Average Speed
What happens during the remaining portion of the 100-m Dash after reaching top speed?
The runner continues at a constant speed, so acceleration is zero.
p.46
Calculating Average Acceleration
How is average acceleration calculated?
(Final velocity - Initial velocity) ÷ (Time interval).
What are the units of acceleration?
Units of velocity divided by units of time.
p.25
Graphing Motion and Interpretation
When is the car not moving at all?
When the graph is flat (slope is zero).
p.13
Understanding Velocity
What is instantaneous velocity?
A vector quantity that represents the velocity at a specific instant in time.
p.17
Acceleration and Its Types
What does the direction of the acceleration vector indicate?
It indicates the direction of the change in velocity (∆v).
p.9
Understanding Velocity
What does the speed limit indicate?
The maximum legal instantaneous speed.
p.29
Understanding Velocity
When is the velocity considered constant in a distance vs. time graph?
When the slope of the distance vs. time graph is constant.
p.38
Acceleration and Its Types
Is the acceleration of the object constant based on the velocity graph?
No, the acceleration is decreasing.
p.25
Graphing Motion and Interpretation
How does a graph compare to a simple table in displaying information?
A graph displays information in a more useful manner than a simple table.
What is a common example of uniform acceleration?
A falling rock or other falling object.
p.22
Acceleration and Its Types
How is instantaneous acceleration defined?
As the rate at which velocity is changing at a given instant in time.
p.10
Understanding Velocity
What are the two components of velocity?
Magnitude (speed) and direction.
p.22
Average Speed Calculation
How can instantaneous acceleration be calculated?
By calculating the average speed over a short enough time that the speed does not change much.
p.13
Understanding Velocity
What two components define instantaneous velocity?
Magnitude (instantaneous speed) and direction of motion.
p.13
Understanding Velocity
What does the direction of instantaneous velocity indicate?
The direction of motion at that specific instant.
What is uniform acceleration?
The simplest form of acceleration where a constant force acts on an object.
p.42
Graphing Motion and Interpretation
What does the distance graph for uniform acceleration show?
A constantly increasing slope due to constantly increasing velocity.
What is the definition of rate?
One quantity divided by another quantity.
p.10
Understanding Velocity
What type of quantity is velocity?
Velocity is a vector quantity.
p.47
Calculating Average Acceleration
How is average acceleration calculated in this scenario?
By dividing the change in velocity (12 m/s) by the time interval (8 seconds).
p.33
Acceleration and Its Types
When is the magnitude of acceleration greatest?
When the velocity is changing the fastest.
p.47
Calculating Average Acceleration
What are the possible answers for the average acceleration?
a) 4 m/s², b) 3 m/s², c) 2 m/s², d) 1.5 m/s², e) 1 m/s².
p.6
Average Speed Calculation
How is average speed defined?
The rate at which distance is covered over time.
How does the velocity change over time in uniform acceleration?
It increases at a steady rate.
p.28
Instantaneous Speed vs. Average Speed
How can instantaneous velocities at two points be compared?
By looking at their slopes on a graph.
p.17
Acceleration and Its Types
What happens to the acceleration when velocity is increasing?
The acceleration is in the same direction as the velocity.
p.14
Acceleration and Its Types
What is acceleration?
The rate at which velocity changes.
p.48
Average Speed Calculation
Why is the average of the average accelerations from 0 to 4 sec and 4 to 8 sec the same as from 0 to 8 sec?
Because the total change in velocity over the entire time period is the sum of the changes in each segment.
p.24
Graphing Motion and Interpretation
What does each interval on an axis represent?
A fixed quantity of distance or time.
p.42
Average Speed Calculation
How is the distance at any instant calculated?
Distance is velocity times the time at that instant.
p.26
Graphing Motion and Interpretation
How is slope calculated on a graph?
Change in vertical quantity divided by change in horizontal quantity.
p.11
Understanding Velocity
At position B, how does the velocity vector v2 compare to v1?
It has the same magnitude but a different direction.
p.10
Understanding Velocity
What can a change in velocity indicate?
A change in the object's speed or direction of motion.
p.10
Understanding Velocity
What does a speedometer indicate?
Instantaneous speed, but not velocity.
p.15
Acceleration and Its Types
What is the main idea expressed about acceleration?
It's not the fall that hurts, but the sudden stop at the end.
p.16
Acceleration and Its Types
What type of quantity is acceleration?
Acceleration is a vector quantity, with magnitude and direction.
p.33
Acceleration and Its Types
What indicates the greatest magnitude of acceleration on a velocity vs. time graph?
The steepest slope of the graph.
p.41
Graphing Motion and Interpretation
What does the velocity graph for uniform acceleration look like?
A straight line with a constant slope.
p.16
Acceleration and Its Types
Can a decrease in velocity be considered acceleration?
Yes, a decrease in velocity (slowing down) is also referred to as acceleration.
p.21
Average Speed Calculation
What is the initial velocity of the car?
0 m/s (starting from rest).
p.14
Acceleration and Its Types
Give an example of acceleration in everyday life.
A car changing speed or direction.
How does a car demonstrate uniform acceleration?
By accelerating at a constant rate.
p.5
Average Speed Calculation
Why is the average speed for the whole trip not the average of the two speeds?
Because the distances and times are different, affecting the overall average.
p.3
Unit Conversion Techniques
How many seconds are in one hour?
3600 seconds (60 minutes x 60 seconds).
p.46
Calculating Average Acceleration
What is the time interval for calculating average acceleration in this scenario?
4 seconds (from 4 s to 8 s).
p.3
Unit Conversion Techniques
What is the first step in converting 70 km/h to m/s?
Convert kilometers to meters by multiplying by 1000.
p.18
Acceleration and Its Types
What happens to the acceleration when velocity is decreasing?
The acceleration is in the opposite direction to the velocity.
p.34
Graphing Motion and Interpretation
What indicates the greatest distance traveled in a velocity-time graph?
The area under the velocity curve.
p.48
Average Speed Calculation
What is being compared in terms of average acceleration?
The average accelerations from 0 to 4 seconds, 4 to 8 seconds, and 0 to 8 seconds.
p.14
Acceleration and Its Types
What do our bodies feel when velocity is constant?
Our bodies don’t feel velocity.
p.33
Acceleration and Its Types
What does it mean when the acceleration does not change?
The acceleration remains constant throughout the motion.
What is an example of a rate?
Gallons per minute, pesos per dollar, points per game.
p.25
Graphing Motion and Interpretation
When is the car moving the fastest according to the graph?
The specific time can be determined by analyzing the steepest slope on the graph.
p.42
Average Speed Calculation
How is the total distance covered calculated in uniform acceleration?
Total distance is average velocity times the total elapsed time.
p.26
Graphing Motion and Interpretation
What does 'rise over run' refer to?
It is a way to describe the calculation of slope.
p.14
Acceleration and Its Types
What can acceleration involve?
A change in the object's speed or direction of motion.
p.26
Graphing Motion and Interpretation
What does a flat slope indicate on the graph?
A slope of zero between 20 s and 30 s.
p.19
Acceleration and Its Types
What does the direction of the acceleration vector indicate?
It indicates the direction of the change in velocity (∆v).
p.29
Understanding Velocity
What do the horizontal and vertical axes represent in the car's velocity graph?
The horizontal axis represents time, and the vertical axis represents velocity.
p.38
Understanding Velocity
What happens to the velocity of the object over time according to the graph?
The velocity initially changes rapidly, reaches a maximum value, and then remains constant.
p.26
Understanding Velocity
What does the slope at any point on a distance-versus-time graph represent?
The instantaneous velocity at that time.
What are the units of velocity?
Units of distance divided by units of time.
p.11
Understanding Velocity
At position A, what is indicated by the velocity vector v1?
The velocity of the car at that position.
p.43
Graphing Motion and Interpretation
What does the distance traveled represent in relation to a velocity graph?
The area under the velocity graph.
p.46
Calculating Average Acceleration
What are the initial and final velocities used in the average acceleration calculation?
Initial velocity is 4 m/s and final velocity is 12 m/s.
How can the units of acceleration be expressed?
As units of (distance divided by time) divided by units of time.
p.43
Understanding Velocity
What is the relationship between final velocity and acceleration?
Final velocity (v) is equal to at.
p.3
Unit Conversion Techniques
What is the final calculation to convert 70,000 m/h to m/s?
70,000 m/h divided by 3600 gives 19.4 m/s.
p.48
Acceleration and Its Types
What happens to the velocity of a car over time in this scenario?
The velocity of the car increases with time.
p.27
Graphing Motion and Interpretation
Does the car ever go backward according to the graph?
Yes, during the third segment (not labeled).
p.27
Graphing Motion and Interpretation
What indicates that the car is moving backward?
The distance traveled is decreasing during the third segment.
p.37
Acceleration and Its Types
When does the greatest acceleration occur in the 100-m Dash?
At the beginning of the race.
p.30
Instantaneous Speed vs. Average Speed
What does a flat graph indicate about velocity?
It indicates that the velocity is constant and not changing.
p.44
Calculating Average Acceleration
What does the area of the rectangle represent in the distance formula?
The distance the object would travel with constant velocity v0 for a time t.
p.45
Calculating Average Acceleration
How is average acceleration calculated?
By dividing the change in velocity by the time taken.
p.38
Instantaneous Speed vs. Average Speed
Can we determine the acceleration from the velocity graph?
It is impossible to determine from this graph.
p.26
Graphing Motion and Interpretation
What does a negative slope indicate on the graph?
A decrease in distance between 50 s and 60 s.
p.28
Instantaneous Speed vs. Average Speed
What is the conclusion about the instantaneous velocity at point A compared to point B?
The velocity at A is greater than at B.
p.20
Average Speed Calculation
What is the formula for average acceleration?
a = Δv / t, where Δv is the change in velocity and t is the elapsed time.
p.10
Understanding Velocity
What does velocity involve?
Direction of motion and how fast the object is going.
p.44
Calculating Average Acceleration
What does the total distance covered consist of for a non-zero initial velocity?
The area of the triangle plus the rectangle.
p.12
Understanding Velocity
What role does friction play when a car rounds a curve?
Friction between the wheels and the road exerts a force to change the car’s direction.
p.43
Average Speed Calculation
What is the formula for average velocity when starting from zero initial velocity?
Average velocity is 1/2 (at).
p.6
Instantaneous Speed vs. Average Speed
How is instantaneous speed calculated?
By calculating the average speed over a short enough time that the speed does not change much.
p.20
Average Speed Calculation
How is average acceleration defined?
As the change in velocity divided by the time required to produce that change.
p.11
Understanding Velocity
What changes as the car moves from position A to position B?
The direction of the velocity vector.
p.32
Instantaneous Speed vs. Average Speed
What is the significance of velocity being positive?
It indicates the car is moving in the same direction and not backward.
p.6
Instantaneous Speed vs. Average Speed
What is instantaneous speed?
The speed at that precise instant in time.
p.12
Understanding Velocity
How does a wall affect a bouncing ball?
The wall exerts a force on the ball, causing it to change direction.
p.12
Understanding Velocity
What two aspects of velocity can be changed by a force?
The magnitude (speed) or direction.
p.32
Instantaneous Speed vs. Average Speed
Is the car moving backward between 4 s and 6 s?
No, it is not moving backward as the velocity remains positive.
p.27
Graphing Motion and Interpretation
In which segment is the car confirmed to be moving backward?
In the third segment (not labeled).
p.10
Understanding Velocity
What do vectors have?
Both magnitude and direction.
p.44
Calculating Average Acceleration
What does the area of the triangle represent in the distance formula?
The additional distance traveled due to acceleration.
p.14
Acceleration and Its Types
How does an elevator demonstrate acceleration?
By speeding up or slowing down.
p.27
Graphing Motion and Interpretation
What does a decreasing distance on a position-time graph signify?
The car is moving backward (in reverse).
p.25
Graphing Motion and Interpretation
When is the car moving the slowest?
When the slope of the graph is the least steep.
What happens to acceleration during uniform acceleration?
The acceleration does not change as the motion proceeds.
p.25
Graphing Motion and Interpretation
At what time does the car start moving in the opposite direction?
When the graph crosses the axis indicating a change in direction.
