A certain vehicle can accelerate from a standing start to a speed of v(t) =...
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A certain vehicle can accelerate from a standing start to a speed of v(t) = -0.27t + 12t feet per second after t seconds (for0 ? t < 30).(a)Find a formula for the distance that it will travel from its starting point in the first t seconds. [Hint: Integrate velocity to finddistance, and then use the fact that distance is 0 at time t = 0.]D(t) =(b) Use the formula that you found in part (a) to find the distance (in ft) that the car will travel in the first 10 seconds. (Roundyour answer to the nearest whole number.)D(10) =ft
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