Kinematics - Interpreting Graphs and deriving equations

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SUMMARY

The discussion focuses on calculating average speed and total distance traveled using kinematic equations. The specific scenario involves a transport journey from Toronto City Hall to the Shaw Festival Theatre, covering a total distance of 130 km in 2 hours. The average speed is calculated as 65 km/h, confirming the transport's near completion of the journey. The calculations utilize the area of rectangles to determine distance segments based on varying speeds of 40 km/h, 80 km/h, and 60 km/h over specified time intervals.

PREREQUISITES
  • Understanding of kinematic equations, specifically average speed calculations.
  • Familiarity with basic geometry, particularly area calculations for rectangles.
  • Knowledge of unit conversions related to speed and distance.
  • Ability to interpret and analyze distance-time graphs.
NEXT STEPS
  • Study the principles of kinematics in physics, focusing on motion equations.
  • Learn how to derive equations from distance-time graphs.
  • Explore advanced topics in motion analysis, such as acceleration and deceleration.
  • Investigate real-world applications of kinematic equations in transportation planning.
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Students studying physics, educators teaching kinematics, and anyone interested in understanding motion analysis and speed calculations in real-world scenarios.

alexandria
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Homework Statement


upload_2016-3-21_23-15-23.png


Homework Equations


average speed = total distance/total time

The Attempt at a Solution



24. [/B]

The shortest road distance from Toronto City Hall to the Shaw festival theatre in Niagara-on-the-Lake is 131 km.

a)

First I will calculate the area of each rectangle using this formula: A = l x w

d = (40 km/h) (0.5 h)

= 20 km

d = (80 km/h) (1.0 h)

= 80 km

d = (60 km/h) (0.5 h)

= 30 km

Total distance travelled:

total d = 20 km + 80 km + 30 km

total d = 130 km

We already know that the shortest road distance from Toronto City Hall to the Shaw festival theatre is 131 km. In 2 hours, the transport has traveled a total of 130 km, meaning it has just about reached the festival theatre.

b)

Average speed of the truck = total distance / total time

= 130 km / 2.0 h

= 65 km/h
please verify if my answer is correct.
thank you :)
 

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Looks right.
 
Thanks :)
 

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