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Questions and Answers
What does the slope of a velocity vs. time graph represent?
What does the slope of a velocity vs. time graph represent?
- The acceleration of the object (correct)
- The speed of the object
- The total time of motion
- The distance traveled by the object
If an object is moving at a constant speed on a velocity vs. time graph, what is the acceleration?
If an object is moving at a constant speed on a velocity vs. time graph, what is the acceleration?
- Negative acceleration
- Positive acceleration
- Zero acceleration (correct)
- Variable acceleration
Which of the following statements accurately describes an object with positive acceleration?
Which of the following statements accurately describes an object with positive acceleration?
- The object is moving at a constant speed
- The object is at rest
- The object is speeding up (correct)
- The object is slowing down
What is the relationship between rise and run in the context of a velocity vs. time graph?
What is the relationship between rise and run in the context of a velocity vs. time graph?
What can be inferred about an object that shows a negative acceleration on a graph?
What can be inferred about an object that shows a negative acceleration on a graph?
What is the formula for calculating acceleration?
What is the formula for calculating acceleration?
What does positive acceleration indicate?
What does positive acceleration indicate?
If a jet lands from a speed of 80 m/s to 0 m/s in 10 seconds, what is its acceleration?
If a jet lands from a speed of 80 m/s to 0 m/s in 10 seconds, what is its acceleration?
A skateboarder accelerates at 1.5 m/s² for 2 seconds from rest. What is his final speed?
A skateboarder accelerates at 1.5 m/s² for 2 seconds from rest. What is his final speed?
What is the acceleration of a car that accelerates from 25 mi/hr to 55 mi/hr in 0.0083 hr?
What is the acceleration of a car that accelerates from 25 mi/hr to 55 mi/hr in 0.0083 hr?
Which of the following describes negative acceleration?
Which of the following describes negative acceleration?
How is acceleration expressed in units?
How is acceleration expressed in units?
If a car moves at a constant speed, what can be said about its acceleration?
If a car moves at a constant speed, what can be said about its acceleration?
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Study Notes
Acceleration
- Definition: Rate of change of velocity over time.
- Occurs when: Object speeds up, slows down, or changes direction.
- Units: mi/hr², m/s², km/hr²
- Positive Acceleration: Object speeds up.
- Negative Acceleration: Object slows down.
Calculating Acceleration
- Formula: a = (vf - vi) / t
- vf = final velocity
- vi = initial velocity
- t = time
Example #1
- Car initially traveling at 35 km/hr.
- Accelerates to 45 km/hr in 0.25 hours.
- Acceleration: 40 km/hr²
Example #2
- Jet traveling at 80 m/s.
- Slows down to 0 m/s in 10 seconds.
- Acceleration: -8 m/s² (negative because the jet is slowing down)
Example #3
- Skateboarder accelerates at 1.5 m/s².
- Starts from rest (vi = 0 m/s) and accelerates for 2 seconds.
- Final velocity: 3 m/s
Graphing Acceleration
- Velocity vs. Time Graphs:
- Slope of the line = Acceleration
- Distance vs. Time Graphs:
- Used to describe acceleration
- Constant Velocity: Horizontal line; acceleration = 0.
- Increasing Velocity: Curved line; acceleration is positive.
- Decreasing Velocity: Curved line; acceleration is negative.
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