Consider two cars one a chevy, one a Ford. The Chevy is speeding along

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In summary, the question is asking if the initial velocity of a car affects the amount of time and distance it takes for the car to come to a stop with constant acceleration. The answer is yes, as both the stopping time and distance are dependent on the initial velocity according to the equations v = a t and s = v2/2a. This emphasizes the importance of following speed limits and the consequences of speeding in terms of stopping distance.
  • #1
tarheels88
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Consider two cars one a chevy, one a Ford. The Chevy is speeding along at 50m/s (mph) and the Ford is going half the speed at 30m/s. If the two cars brake to a stop with the same constant acceleration, are either the amount of time required to come to a stop, or the distance traveled prior to stopping influenced by their initial velocity.

I don't really understand the concept of what the question is asking. And no this is not a Homework question.
 
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  • #2


Is it simply trying to parse the poorly worded paragraph? Here it is broken apart.Consider two cars one a chevy, one a Ford. The Chevy is speeding along at 50m/s (mph) and the Ford is going half the speed at 30m/s. The two cars brake to a stop with the same constant acceleration.

Is the amount of time required for each vehicle to come to a stop influenced by its initial velocity? Y/N

Prior to each vehicle stopping is the distance it traveled influenced by its initial velocity? Y/N
 
  • #3


Not that important, but 30 is not half of 50.
 
  • #4


It sounds to me like the question is asking you, what things depend on your speed when you undergo constant deceleration? Constant acceleration allows us to use a collection of well-worn kinematical laws, and here are two:
the change in v2 = 2 a s, where s is the distance traveled.
the change in v = a t, where t is the time.
In both cases, if you are interested in stopping, then v is just the initial velocity, and you get
s = v2/2a
t = v/a
and you clearly see that both the stopping distance, and the stopping time, depend on initial velocity v. You can also see the point commonly stressed in driver's education-- the stopping distance is especially sensitive to initial v, so if you speed, you will have a hard time stopping before you hit an object a fixed distance in front of you.
 
  • #5


Are the stopping distance and/or stopping time affected by a car's initial velocity?

Kind of a long, confusing, mathematically unnecessary and inaccurate way of saying the above.
 

Related to Consider two cars one a chevy, one a Ford. The Chevy is speeding along

What is the difference between the Chevy and Ford in terms of speed?

The Chevy is currently speeding along, while the Ford's speed is not specified in this scenario.

Which car is faster, the Chevy or the Ford?

Based on the information given, it is not possible to determine which car is faster as the Ford's speed is not specified.

What factors could contribute to the Chevy speeding along?

The Chevy may be speeding due to the driver's behavior, road conditions, or the car's capabilities and features.

Is it safe for the Chevy to be speeding along?

Speeding is generally considered unsafe and illegal. The safety of the Chevy would depend on the specific circumstances and conditions.

What does the fact that the Chevy is speeding along tell us about its performance?

The fact that the Chevy is able to reach high speeds suggests that it has a powerful engine and good acceleration capabilities. However, it is important to note that speed is just one aspect of a car's overall performance.

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