A certain vehicle can accelerate from a standing start to a speed of  v(t) = −0.21t2 + 16t  feet per second after t seconds (for  0 ≤ t < 40). (a) Find a formula for the distance that it will travel from its starting point in the first t seconds. [Hint: Integrate velocity to find distance, 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. (Round your answer

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