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a ferrari covers 100m from a standing start in 6 sec. at constant acceleration?

a Ferrari covers 100m from a standing start in 6 sec. at constant acceleration. find its final velocity.in going from 60 to 80 m/s. what distance does it cover in doing so? what is the minimum length of the runway?

The equations of motion under constant acceleration are:

Vf = Vi + A T
D = Vi T + (1/2) A T^2

where:
T is the time interval
A is the acceleration
Vi is the initial velocity
Vf is the final velocity

So, you can find A because in 6 seconds (T = 6) the car goes from a standing start (Vi = 0) and covers 100 meters, so you have all the parameters for the distance equation.

From the velocity equation, you can determine its Vf after that period of acceleration.

Using the velocity equation you can also find the times at which it is going 60 m/s and 80 m/s. Given the time interval, you can then use the distance equation to get the distance travelled.
Etc.

This entry was posted on Wednesday, October 14th, 2009 at 7:12 pm and is filed under ferrari. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

One Response to “a ferrari covers 100m from a standing start in 6 sec. at constant acceleration?”

  1. simplicitus says:
    October 15, 2009 at 12:17 am

    The equations of motion under constant acceleration are:

    Vf = Vi + A T
    D = Vi T + (1/2) A T^2

    where:
    T is the time interval
    A is the acceleration
    Vi is the initial velocity
    Vf is the final velocity

    So, you can find A because in 6 seconds (T = 6) the car goes from a standing start (Vi = 0) and covers 100 meters, so you have all the parameters for the distance equation.

    From the velocity equation, you can determine its Vf after that period of acceleration.

    Using the velocity equation you can also find the times at which it is going 60 m/s and 80 m/s. Given the time interval, you can then use the distance equation to get the distance travelled.
    Etc.
    References :

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