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Sagot :
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 = 12t² - t³
Evaluated between zero and 8 seconds, the integral is
12(8²) - (8)³ =
768 - 512 = 256 meters .
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