Problem Driver Must Average 337.5 km/h for Last 4 Laps

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In summary, a race car driver must maintain an average velocity of 225 km/h for the last four laps of a race in order to qualify for the race, after averaging only 150 km/h for the first two laps. This is determined by using the formula Vavg = (X2 - X1) / (T2 - T1) and setting it equal to the required average velocity, 200 km/h.
  • #1
TeenieWeenie
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Problem solved; thanks Thaakisfox!

Homework Statement


A race car driver must average 200km/hr for six laps of the race track to qualify for a race. If he averages only 150 km/h for the first two laps, calculate the average velocity he must have over the last four laps in order to qualify.

Homework Equations


Vavg = (X2 - X1) / (T2 - T1)

The Attempt at a Solution


Set V average = 200 km/hr.
200 = [150+ 4(v)]/6
1200 = 150+4v
1350/4 = V for last 4 laps?

337.5 km/h per lap for the last 4 laps?
 
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  • #2
You forgot to multiply the 150 with 2, as the car goes 2 laps with that speed.
 
  • #3
Alrighty. I double checked and ended up with this.

200 km/h = [300km/h + 4(v)] / 6
1200 = 300 +4v
900 = 4v
225 km/h = v per lap needed to average at 200km/h for 6 laps.

Does that sound right?
 
  • #4
Yep that's right.
 
  • #5
Sweet! I had a feeling 337.5 was not right.
Thanks for the help Thaakisfox!

Problem solved!
 

FAQ: Problem Driver Must Average 337.5 km/h for Last 4 Laps

How did you calculate the average speed needed for the last 4 laps?

The average speed needed for the last 4 laps was calculated by dividing the remaining distance to be covered by the number of laps. In this case, the remaining distance is 1350 km (4 laps x 337.5 km), and the number of laps is 4, resulting in an average speed of 337.5 km/h.

Is it possible for a driver to maintain an average speed of 337.5 km/h for 4 laps?

It is possible for a driver to maintain an average speed of 337.5 km/h for 4 laps, but it would require perfect conditions and a highly skilled driver. Any slight deviation in speed or unexpected obstacles could affect the average speed and make it difficult to maintain.

What factors could influence the driver's ability to maintain the required average speed?

There are several factors that could influence the driver's ability to maintain the required average speed. These include the condition of the track, weather conditions, the performance of the car, and the driver's skill and experience.

Is the average speed the only factor that determines the outcome of the race?

No, the average speed is not the only factor that determines the outcome of the race. Other factors such as pit stops, strategy, and the performance of other drivers can also play a significant role in the final result.

Can the driver make up for slower speeds on the first few laps by exceeding the average speed on the last 4 laps?

Yes, it is possible for the driver to make up for slower speeds on the first few laps by exceeding the average speed on the last 4 laps. However, it would require a significant increase in speed and could be challenging to maintain for 4 consecutive laps.

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