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A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded:
Time since brakes applied (sec) 0 2 4 6
Velocity (ft/s) 97 49 18 0
Give lower and upper estimates (using all of the available data) for the distance the car traveled after the brakes were applied.

Respuesta :

Answer:

Hence, the Lower estimates are [tex]134[/tex] and the upper estimates are [tex]228[/tex] feet

Step-by-step explanation:

A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the velocities recorded are given in the question.

So, the Lower Estimates for the distance travelled by car will be

    [tex]S=49\cdot 2+18\cdot 2+0\cdot 2[/tex]

[tex]\Rightarrow S=98+36+0[/tex]

[tex]\Rightarrow S=134[/tex]

Also, the Upper estimates for the same will be

     [tex]S=97\cdot 2+49\cdot2+18\cdot 2[/tex]

[tex]\Rightarrow S=194+98+36[/tex]

[tex]\Rightarrow S=228[/tex]

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