How Do You Calculate Instantaneous Speed from a Speed-Time Graph?

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SUMMARY

The instantaneous speed can be calculated from a speed-time graph by determining the slope of the tangent line at a specific point on the graph. This slope represents the rate of change of distance with respect to time. In the discussion, participants analyze various graphs to identify constant speed, changing speed, and points where instantaneous speed is zero. Additionally, they calculate average speeds over specified time intervals for different cyclists.

PREREQUISITES
  • Understanding of speed-time graphs
  • Knowledge of calculus concepts, specifically derivatives
  • Ability to interpret graphical data
  • Familiarity with average speed calculations
NEXT STEPS
  • Study how to derive instantaneous speed using calculus
  • Learn about the graphical representation of motion in physics
  • Explore the concept of tangents in calculus
  • Investigate methods for calculating average speed over time intervals
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Students studying physics, educators teaching motion concepts, and anyone interested in understanding speed calculations from graphs.

BUTTER-BENZ
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1.) How is the instantaneous speed obtained from a speed-time graph?

2.) I ADDED A PICTURE OF A TIME GRAPH USED FOR THESE QUESTIONS:

http://i36.tinypic.com/wkh8gx.jpg

(the left numbers are distance, the bottom numbers are time (min)

A. which graph illustrates a constant speed for the whole trip?
B. which graph show a constantly changing speed?
C. which graph(s) has (have) an instantaneous speed of zero as some point?
D. what is the instantaneous speed at 1.0 min for each graph?
E. calculate the average speed for 0 to 5.0 min for each cyclist.
17 hours ago - 3 days left to answer.


THANK YOU SO MUCH IN ADVANCE
 
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How is the instantaneous speed obtained from a speed-time graph?
 
BUTTER-BENZ said:
1.) How is the instantaneous speed obtained from a speed-time graph?

2.) I ADDED A PICTURE OF A TIME GRAPH USED FOR THESE QUESTIONS:

http://i36.tinypic.com/wkh8gx.jpg

(the left numbers are distance, the bottom numbers are time (min)

A. which graph illustrates a constant speed for the whole trip?
B. which graph show a constantly changing speed?
C. which graph(s) has (have) an instantaneous speed of zero as some point?
D. what is the instantaneous speed at 1.0 min for each graph?
E. calculate the average speed for 0 to 5.0 min for each cyclist.
17 hours ago - 3 days left to answer.


THANK YOU SO MUCH IN ADVANCE

You have distance on one axis and time on the other.

What is speed? Is it distance divided by time by any chance?

At any point what is the rate of change? Isn't it the tangent at that point?
 

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