Questions and Answers
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
m = (y2 - y1) / (x2 - x1)
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What is the acceleration?
6 m/s²
If the change in velocity increases, what happens to the acceleration during the same time period?
Acceleration increases.
Isla's change in velocity is 30 m/s, and Hazel has the same change in velocity. Which best explains why they would have different accelerations?
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Based on the position vs. time graph, which velocity vs. time graph would correspond to the data?
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Which graph shows a negative acceleration?
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The chart shows the times and accelerations for three drivers. Which lists them from greatest to lowest change in velocity?
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Which equation can be used to solve for acceleration?
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Which refers to the rate of change in velocity?
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Which of these is an example of acceleration?
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Study Notes
Acceleration Basics
- The formula m = (y2 - y1) / (x2 - x1) is used to calculate acceleration from a velocity vs. time graph.
- Acceleration is defined as the rate of change of velocity over time.
Example of Acceleration Calculation
- A car's acceleration can be calculated when it increases its velocity from 35 m/s to 65 m/s in 5 seconds, resulting in an acceleration of 6 m/s².
Relationship Between Velocity Change and Acceleration
- An increase in the change of velocity during a constant time period leads to an increase in acceleration.
Individual Differences in Acceleration
- Two individuals can have the same change in velocity but differ in acceleration if they have different time intervals; for instance, Isla and Hazel both changed their velocity by 30 m/s, but Isla's time varied from Hazel's.
Graphical Analysis
- A position vs. time graph's corresponding velocity vs. time graph may go horizontal, indicating constant velocity.
- A specific graph labeled D represents negative acceleration.
Acceleration Comparison
- A chart listing drivers by their change in velocity may rank Kira highest, followed by Diego, then Dustin, indicating their respective performance differences.
Equations for Finding Acceleration
- The formula A = Δv/Δt can also be used to calculate acceleration, emphasizing its relationship with changes in velocity and time.
Definition and Examples of Acceleration
- Acceleration can be described as the change in velocity, and an example includes a bicyclist making a turn, demonstrating the concept in motion.
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