How Does Constant Power Affect Car Acceleration Times?

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SUMMARY

The discussion centers on the relationship between constant power output and car acceleration times. A car accelerates from 0 to 50 km/h in 3 seconds, and under the assumption of constant power and no air resistance, it will take 6 seconds to reach 100 km/h. The key takeaway is that with constant acceleration, the time taken to double the speed is directly proportional to the initial acceleration time.

PREREQUISITES
  • Understanding of basic kinematic equations
  • Knowledge of power calculations (P=W/t)
  • Familiarity with concepts of acceleration and speed
  • Basic physics principles regarding motion
NEXT STEPS
  • Study the relationship between power and acceleration in vehicles
  • Learn about the effects of air resistance on acceleration
  • Explore advanced kinematic equations for varying acceleration
  • Investigate real-world applications of constant power in automotive engineering
USEFUL FOR

Automotive engineers, physics students, and anyone interested in understanding the dynamics of car acceleration under constant power conditions.

sauri
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This question; A car takes 3s to acclelerate from to 0 to 50 km/h. Assuming constant power output from the engines and ignoring air resistance, how long does it take to go from o to 100 Km/h?, has been bothering me. I orginally assumed I could use the basic kinamatic equations but the power output factor keeps throwing me off.

Using power P=W/t but how dO i associate W with the speeds?
 
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You don't. It's a simple acceleration problem. It accelerates at a constant rate.
 
Assuming constant power output and ignoring all resistance, you will have constant acceleration. It will take twice as long to accelerate from 0 to 100 as from 0 to 50 km/h.
 

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