How Fast Must the Race Car Go in the Last 2 Laps to Qualify?

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SUMMARY

The problem requires a race car driver to maintain an average speed of 180 km/h over 4 laps to qualify. Due to engine issues, the car only averages 150 km/h for the first 2 laps. To determine the necessary speed for the last 2 laps, one must calculate the total time for 4 laps at 180 km/h, the time for the first 2 laps at 150 km/h, and then derive the required speed for the final laps using the equation v = d/t.

PREREQUISITES
  • Understanding of average speed calculations
  • Familiarity with the formula v = d/t
  • Basic algebra for solving equations
  • Knowledge of lap distance and time concepts
NEXT STEPS
  • Calculate total time for 4 laps at 180 km/h
  • Determine time taken for the first 2 laps at 150 km/h
  • Set up an equation to find the required speed for the last 2 laps
  • Explore similar problems involving average speed and time
USEFUL FOR

Students in physics or mathematics, race car engineers, and anyone interested in speed and time calculations in competitive racing scenarios.

katyross
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Homework Statement


"A race car driver must average 180 km/h for 4 laps to qualify for a race. Because of engine trouble, the car averages only 150 km/h over the first 2 laps. What speed must be maintained for the last 2 laps?"


Homework Equations



v= d/t

The Attempt at a Solution


i actually have no idea where to start with this
 
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Find total time for 4 laps with average velocity 180 km/h.
Find total time for 2 laps with average velocity 150 km/h.
Find total time for remaining 2 laps with average velocity v km/h.
Equate the first one with the sum of the other two.
 

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