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sweet [91]
3 years ago
9

If the velocity of a car on a timed test drive on an airfield is given by the function:

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec. 

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis.  If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

           V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

             t²/2 - 3t³/3  =  <u>12t² - t³</u>

Evaluated between zero and 8 seconds, the integral is

             12(8²) - (8)³ =

               768 - 512  =<em>  256 meters</em> .


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