Consider an object moving along a line with the following velocity and initial position v t 16 1 on 0 5 s 0 3 Determine the

Question

Consider an object moving along a line with the following velocity and initial position v t 16 1 on 0 5 s 0 3 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus Check for agreement between the two methods To determine the position function for t20 using the antiderivative method first determine how the velocity function and the position function are related Choose the correct answer below OA The position function is the absolute value of the antiderivative of the velocity function OB The position function is the derivative of the velocity function OC The velocity function is the antiderivative of the absolute value of the position function D The position function is the antiderivative of the velocity function Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus b OA s t s 0 v t o Sv t dt C a t OC s 0 s t v x d v x dx 0 b fv t dt OB s t v t a OD s t s 0 t v x dx 0

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