Car's maximum velocity in a straight then deceleration

In summary, the conversation is about a project to find the fastest time round a given track in a car. The car has a friction coefficient of 1.6, a mass of 750kg, and an engine power of 350kw. After a corner, the car comes out at a velocity of 31.9m/s and has a 500m straight ahead. The goal is to complete the 500m in the fastest way possible, and the group is struggling to figure out the maximum velocity and when to start braking. They have found a braking equation of a=-gk, but are stuck. One suggestion is to use the constant acceleration equation twice to find the distance needed to accelerate to the maximum speed and then dec
  • #1
leathley
1
0
We are doing a project to find the quickest time round a given track in a car.
friction: k=1.6
mass of car m=750kg
power of engine w=350kw
g=9.8
distance x=500m

After a corner, the car comes out at velocity=31.9m/s
There is a 500m straight next but have to finish it at 31.9m/s for next corner.
I need to know the fastest way to complete the 500m.
how can i work out the maximum velocity i can go and when to start braking?
i think we found the braking eqaution was a=-gk but we are basically really stuck!
any help would be greatly appreciated!
thanks
 
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  • #2
Welcome to PF!


Hi leathley! Welcome to PF! :smile:

Call the maximum speed v …

then use the appropriate constant acceleration equation twice, once to find the distance needed to accelerate up to that speed, and once to find the distance needed to decelerate under braking back to 31.9m/s …

then choose v so that the distances add up to 500m :wink:
 
  • #3
distance needed to get to vmax, s = (vmax^2 -vi^2)/2a or what? can't just do the reverse for the other distance because s1 + s2 will cancel each other out.
 

Related to Car's maximum velocity in a straight then deceleration

What is a car's maximum velocity?

A car's maximum velocity is the highest speed that it can reach while driving in a straight line without any external forces acting on it.

How is a car's maximum velocity determined?

A car's maximum velocity is determined by its engine power, aerodynamics, and weight. The more powerful the engine, the more aerodynamic the car, and the lighter the weight, the higher the maximum velocity.

What factors can affect a car's maximum velocity?

External factors such as wind resistance, road conditions, and elevation can affect a car's maximum velocity. Additionally, the condition of the car's tires, brakes, and engine can also impact its maximum velocity.

Why is it important to know a car's maximum velocity?

Knowing a car's maximum velocity is important for safety reasons, as it allows drivers to understand the limitations of their vehicle and drive within a safe speed range. It is also important for performance testing and comparison between different cars.

How does deceleration affect a car's maximum velocity?

Deceleration, or the reduction of speed, is necessary when a car needs to slow down or come to a stop. The maximum velocity of a car is only relevant when the car is traveling in a straight line without any external forces, so deceleration will decrease the maximum velocity as the car slows down.

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