Confirming Data Table for Mars Lander Speed-Time Graph

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SUMMARY

The discussion confirms the data table for the Mars lander's speed-time graph, which follows the linear equation y=3.7x+20. The initial speed of the lander is established at 20 m/s, with a consistent acceleration of 3.7 m/s² due to Martian gravity. The provided data points align with the regression line, validating the calculations for time intervals from 0 to 7 seconds. Participants emphasize the importance of verifying the calculated y-values against the data table for accuracy.

PREREQUISITES
  • Understanding of linear equations, specifically y=mx+b
  • Basic knowledge of kinematics, particularly acceleration and initial velocity
  • Familiarity with graph plotting techniques
  • Ability to perform regression analysis
NEXT STEPS
  • Explore graphing tools like Desmos for visualizing speed-time graphs
  • Study regression line calculations in Excel or Google Sheets
  • Learn about kinematic equations in physics to deepen understanding of motion
  • Investigate the effects of Martian gravity on spacecraft dynamics
USEFUL FOR

Students in physics or engineering courses, educators teaching kinematics, and anyone interested in the dynamics of space exploration vehicles.

jacknjersey
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Homework Statement



Plot on a graph the speed-time graph for the Mars lander (Fig 2.2) and find its regression line
This should be y=3.7x+20
This tells you the initial speed was 20 m/s
and the acceleration due to gravity on Mars is 3.7 m/s2


Homework Equations



y=mx + b

The Attempt at a Solution



I just need confirmation on my data table:
Time Speed
0 20
1 23.7
2 27.4
3 31.1
4 34.8
5 38.5
6 42.2
7 45.9
 
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Hello,

It's pretty straightforward to check the equation with your data. If you let x equal 1, 2, 3, etc., what do you get for y? Does the value of y you get from the equation agree with the value of y in the table?
 

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