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

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In summary, the instantaneous speed on a speed-time graph is obtained by finding the tangent at a specific point on the graph. This can be illustrated by the left numbers representing distance and the bottom numbers representing time on the graph provided. The graph that shows a constant speed for the whole trip is graph A, while graph B shows a constantly changing speed. Graphs A and C have an instantaneous speed of zero at some point. The instantaneous speed at 1.0 min for each graph can be found by finding the slope of the tangent at that point. Finally, the average speed for 0 to 5.0 min can be calculated by finding the slope of the line connecting those two points on the graph.
  • #1
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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  • #2
How is the instantaneous speed obtained from a speed-time graph?
 
  • #3
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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