A particle is moving with acceleration a(t) = 3613 + 4. its position at time t = 0 is 3(0) = 8 and its velocity at time t = 0 is 0(0) 2 12. What is its position at time t = 4? A stone is thrown straight up from the edge of a roof, 1000 feet above the ground, at a speed of 16 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground? 5 2 Consider the function f (a ) = 2-2 Let F(x) be the antiderivative of f(a) with F(1) = 0. Then F(a) =